3x=8
X log 3 = log 8
X=8/(3 )
X=(.9030)/(.9771)=1.8863
52x-1=2
2x-1 log 5 = log 2
X=2/(5 )
X=(.3010)/(.6989)=.4306
2x=.4306+1
2x=1.4306/ 2
X=.7153
5x=.17
X log 5 = log .17
X=(.17)/5
X=(-.7695)/(..6989)=-1.1010
.18x=3.16
X log .18 = log 3.16
X=3.16/(.18)
X=(..4996)/(-.4774)=-.3720
2.52x=4
2x log 2.5 = log 4
2x=4/(2.5 )
2x=(.6020)/(.3979)=1.5129
X=1.5129/2=.7564
9x=8
X log 9 = log 8
X=8/(9 )
X=(.9030)/(.9542)=.9463
1.55x=5.5
5x log 1.5 = log 5.5
X=5.5/1.5
X=(.7403)/(.1760)=4.2062
X=4.2062/5=.8412
33x=9
3x log 3 = log 9
3x=9/(3 )
X=(.9542)/(.9771)=2
X=2/3=.6666
32x+5=5
2x+5 log 3 = log 5
X=5/3
X=(.6989)/(.4771)=1.4648
2x=.4306+5
2x=-3.5352/ 2
X=-1.7676
2.52x-2=10
2x-2 log 2.5 = log 10
2x-2=10/2.5
2x-2=1/(.3979)=2.5131
2x=4.5131+2
2x=4.5131/ 2
X=2.2565
95x-3=6
5x-3 log 9 = log 6
5x-3=6/59
5x-3=(.7781)/(.9542)=.8162
5x=.8162+3
2x=3.8161/5
X=.7632
3 x=20
x log 3 = log 20
X=20/(3 )
X=(.1.3010)/(.4771)=2.7268
x=2.7268
25x=.97
5x log 2 = log .97
5x=(.97)/(2 )
5x=(-.0132)/(.3010)=.-22.8030
x=22.8030/ 5
X=4.5606
3.57x-1=.87
7x-1 log 3.5 = log .87
7x-1=(.87)/3.5
7x-1=(.0604)/(.5440)=.1110
7x=.1110+1
7x=1.1110/ 7
X=.1269
.972x=.56
2x log .97 = log .56
X=(.56)/(.97)
X=(-.2518)/(-.3010)=19.0757
2x=19.0757/2
X=9.5378
23x=.89
3x log 2 = log .89
3x=(.89)/(2 )
3x=(-.0861)/(.3010)=.-2.6780
x=2.6780/ 3
X=-.8926
27x+1=7
7x+1 log 2 = log 7
7x+1=7/2
7x+1=(-.1549)/(.3010)=-.5146
7x=.5146-1
x=1.5146/ 7
x=.2581
.22x=.5
2x log .2 = log .5
2x=(.5)/(.2)
X=(-.3010)/(-.6989)=.4306
2x=.4306/2
X=.2153
3.5x=3.6
x log 3.5 = log 3.6
X=3.6/3.5
X=(.5563)/(.5440)=1.0226
X=1.0226
32x=10.5
2x log 3 = log 10.5
2x=10.5/(3 )
2x=(1
.0211)/(.4771)=2.1402
X=2.1402/2
X=1.0701
97x-10=1
7x-10 log 9 = log 1
7x-10=1/(9 )
7x-10=0/(.9542)=0
7x=0+10
x=10/ 7
X=1.4285
4.6x=35
x log 4.6 = log 35
X=35/4.6
X=(.1.5440)/(.6627)=2.3298
X=2.3298
53x=.58
3x log 5 = log .58
3x=(.58)/5
3x=(.2365)/(.6989)=.3383
x=.3383/ 3
X=.1127
2.35x-1=.9
5x-1 log 2.3 = log .9
5x-1=(.9)/2.3
5x-1=(-.0457)/(.3617)=-.1263
5x=-.1263+1
x=-1.1263/5
X=-.2252
2x=27
x log 2 = log 27
X=2/27
X=(.1.4313)/(.3010)=4.7551
X=.7551
7x+6=5
X+6 log 7 = log 5
X+6=5/7
X+6=(.6989)/(.8450)=.8271
x=6.8271
82x-7=3
2x-7 log 8 = log 3
2x-7=3/8
2x-7=(.4771)/(.9030)=.5283
2x=.5283+7
x=7.5283/ 2
X=3.7641
43x-5=2
3x-5 log 4 = log 2
3x-5=2/(4 )
3x-5=(.3010)/(.6020)=.5
3x=.5+5
x=5.5/ 3
X=1.8333
32/1x-2=.75
½ x-2 log 3 = log .75
½ x-2=(.75)/3
½ x-2=(-.1249)/(.4771)=-.2617
½ x=.1.7383
x=1.7383/ .5
X=3.4766
.253/2x =.5
3/2x log .25 = log .5
3/2x =(.5)/(.25)
3/2x =(-.3010)/(-.6020)=2
3/2x=2
x=2/ 3/2
X=1 1/3
3.61.7x =.8
1.7x log 3.6 = log .8
1.7x=(.8)/3.6
1.7x =(-.0969)/(.5563)=-.1721
X=-.1721/1.7
x=-.1012
1.53x=2.5
3x log 1.5 = log 2.5
3x =2.5/2.5
3x =(.3979)/(.1760)=2.2607
x=2.2607/3
X=.7535
2.35/2x =5
5/2 x log 2.3= log 5
5/2x =5/2.3
5/2x =(.6989)/(.3617)=1.9322
x=1.9322/5/2
X=.7728
27/3x =4/5
7/3x log 2 = log 4/5
7/3x =(4/5)/2
7/3x =(-.0969)/(..3010)=-.3219
x=-.3219/7/3
X=-.1379
.8x =2.2
X log .8 = log 2.2
x =2.2/(.8)
x =(.3424)/(-.0969)=-3.5335
x=-3.5335
.17x =.7
x log .17 = log .7
x =(.7)/(.17)
x=(-.1549)/(-.7695)=.2012
x=.2012
3/2 x =3/2
x log 3/2 = log 3/2
x=(3/2)/(3/2)
x =(.1760)/(.1760)=1
x=1
.56x =.97
x log .56 = log .97
x=(.97)/(.56)
x =(-.0132)/(-.2518)=.0524
X=.0524
.8x=2.3
x log .8 = log 2.3
x =2.3/(.8)
x =(.3617)/(.0969)=3.7327
X=3.7327
43x+7-2 =36
3x+7-2 log 4 = log 36
3x+7-2 =36/4
3x+7-2 =1.5563/(.6020)=2.5852
X+7=2.5852-7=4.4147
X=-4.4147
32/3x =4
2/3 log 3 = log 4
2/3 =4/3
2/3 =(.6020)/(.4771)=1.2617
x=1.2617/2/3
X=1.8925
27x-3-2x+6=10
7x-3-2x+6 log 2 = log 10
7x-3-2x+6 =10/2
7x-3-2x+6 =1/(.3010)=3.3222
5x-3=3.3222-6=-2.6778
5x=-2.6778+3=.344
X=.3222/5=.0644
5.72/3x-7=.67
2/3x-7 log 5.7 = log .67
2/3x-7 =(.67)/5.7
2/3x-7=(-.1739)/(.7558)=-.2300
2/3x=-.2300+7=6.77
X=6.77/2/3=10.155
2.3.5x-2=.7
.5x-2 log 2.3 = log .7
.5x-2 =(.7)/2.3
.5x-2 =(-.1549)/(.3617)=-.4282
.5x=-.4282+2=1.5718
X=1.5718/.5=3.1436
3.72x-3+7x-1=2
2x-3+7x-1 log 3.7 = log 2
2x-3+7x-1 =2/3.7
2x-3+7x-1 =(.3010)/(.5682)=.5297
9x=.5297+4=4.5797
X=4.5297/9=.5033
2.51/2x=.9
1/2x log 2.5 = log .9
1/2x =(.9)/2.5
1/2x =(-.0457)/(..3979)=-.1148
X=-.1148/1/2 =-.2296
3.27x-3=2
7x-3 log 3.2 = log 10
7x-3 =10/3.2
7x-3 =(.3010)/(.5051)=.5959
7x=.5959+3=3.5959
X=3.5959/7=.5137
43x-7=2.4
3x-7 log 4 = log 2.4
3x-7 =2.4/4
3x-7=(.3802)/(.6021)=.6315
3x=7.6315
X=7.6315/3=2.5438
1.56x-3=4.7
6x-3 log 1.5 = log 4.7
6x-3 =4.7/1.5
6x-3=(.6721)/(.1761)=3.8166
6x=3.8166+3=6.8166
X=6.8166/6=1.1361
X=1.1361
MAlfaro_Trabajo Final Matematicas
domingo, 17 de abril de 2011
domingo, 3 de abril de 2011
Ejercicios del libro de baldor
Ejercicios Del libro de baldor
532x0.184
532 + .184
2.7259 + (-0.7351)= 1.9903
ANT =97.9039
191.7 x 432
2.2826 + 2.6354= 4.918
ANT = 82, 794.21637
0.7 x 0.013 x 0.9
-0.1549 + (-1.8860) + (- 0.0457)= 4.918
ANT= 0.0081
7.5 x 8.16 x 0.35 x 10037
0.8750 + 0.9116 + (-0.4559) + 4.0016=5.3323
ANT= 214, 931.4655
3.2 x 4.3 x 7.8 x 103.4 x 0.019
0.5051 + 0.6334+ 0.8920 + 2.0145 + (-1.7212) = 2.3238
ANT =210.7657
95.13 ÷ 7.23
1.9783 – 0.8591 =1.1192
ANT= 13.1583
8.125 ÷ 0.9324
0.9097 – (-0.0303)= 0.9402
ANT= 8.7140
7653.95÷12.354
3.8838 – 1.0918=2.792
ANT=619. 4410
0.72183/0.0095
-0.1415 – (- 2.0222)= 1.8807
ANT=75.9801
9114/0.02
3.9597 – (-1.6989)= 5.6586
ANT= 455,617.0838
2^10
10 log〖2 〗
10 (0.3010)
ANT= 1,024
〖0.15〗^3
3 log〖0.15 〗
3 (-0.8239)
ANT=-2.4717
〖18.65〗^4
4 (1.2706) =5.0827
ANT = 120, 980. 4915
〖00.84〗^2
2 (-0.0757)= 0.1514
ANT. =0.7056
〖7.2〗^6
6 (0.8573)= 5.1439
ANT=139, 314. 0695
√3
3^1
1 (0.4771)= .4771
ANT= 3
3√2
2_3^1
1/3 (.3010) =0.1505 ant.
ANT=1.414
4√5
5_4^1
1/4 (.6989) =0.1747
ANT=1.4953
5√63
6_5^3
3/5 (1.79) =0.1747
ANT=2.2901
7√815
〖815〗_7^1
1/5 (2.9111)= .4158
ANT=2.6054
532x0.184
532 + .184
2.7259 + (-0.7351)= 1.9903
ANT =97.9039
191.7 x 432
2.2826 + 2.6354= 4.918
ANT = 82, 794.21637
0.7 x 0.013 x 0.9
-0.1549 + (-1.8860) + (- 0.0457)= 4.918
ANT= 0.0081
7.5 x 8.16 x 0.35 x 10037
0.8750 + 0.9116 + (-0.4559) + 4.0016=5.3323
ANT= 214, 931.4655
3.2 x 4.3 x 7.8 x 103.4 x 0.019
0.5051 + 0.6334+ 0.8920 + 2.0145 + (-1.7212) = 2.3238
ANT =210.7657
95.13 ÷ 7.23
1.9783 – 0.8591 =1.1192
ANT= 13.1583
8.125 ÷ 0.9324
0.9097 – (-0.0303)= 0.9402
ANT= 8.7140
7653.95÷12.354
3.8838 – 1.0918=2.792
ANT=619. 4410
0.72183/0.0095
-0.1415 – (- 2.0222)= 1.8807
ANT=75.9801
9114/0.02
3.9597 – (-1.6989)= 5.6586
ANT= 455,617.0838
2^10
10 log〖2 〗
10 (0.3010)
ANT= 1,024
〖0.15〗^3
3 log〖0.15 〗
3 (-0.8239)
ANT=-2.4717
〖18.65〗^4
4 (1.2706) =5.0827
ANT = 120, 980. 4915
〖00.84〗^2
2 (-0.0757)= 0.1514
ANT. =0.7056
〖7.2〗^6
6 (0.8573)= 5.1439
ANT=139, 314. 0695
√3
3^1
1 (0.4771)= .4771
ANT= 3
3√2
2_3^1
1/3 (.3010) =0.1505 ant.
ANT=1.414
4√5
5_4^1
1/4 (.6989) =0.1747
ANT=1.4953
5√63
6_5^3
3/5 (1.79) =0.1747
ANT=2.2901
7√815
〖815〗_7^1
1/5 (2.9111)= .4158
ANT=2.6054
Propiedad 3 exponetes
Propiedad 3 Exponetes
A² B log A
4 3
3 log 4
3(.6020) = 1. 8060
ANT = 63. 9734
6 9
9 log 6
9(.7781) = 7. 0029
ANT = 100669
88 7
7 log 88
7(1.9444) = 13. 6108
ANT = 4.0813
4 8
4 log 8
8(.6020) = 2. 408
ANT = 255.8585
13 27
27 log 13
27(1.1139) = 30. 0753
ANT = 1. 1893
3²
2 log 3
2(.4771) = .9542
ANT = 8. 9991
5 4
4 log 5
4(.6989) = 2. 7956
ANT = 624. 5971
18 7
7 log 18
7(1.2552) = 8.7864
ANT = 611. 504
50 10
10 log 50
10(1.6989) = 16.989
ANT = 9. 7498
10 8
8 log 10
8(1) = 8
ANT = 100,00
23 7
7 log 23
7(1.3617) = 9.5319
ANT = 3. 4032
19 3
3 log 19
3(1.2787) = 3. 8361
ANT = 6856. 4608
15²
2 log 15
2(1.1760) = 2. 3521
ANT = 225
19 9
9 log 19
9(1.7787) = 11. 5087
ANT = 3. 2268
21 6
6 log 21
6(1.3222) = 7. 9333
ANT = 85,7661
27 6
6 log 27
6(1.4313) = 8.588
ANT = 387. 4204
Exponent en fraccion
5 3/5
3/5 log 5
3/5(.6989) = .4190
ANT = 2. 6265
3 1/2
1/2 log 3
1/2(.4771) = .2385
ANT = 1.7320
4 1/4
1/4 log 4
4/1(.6020) = .1505
ANT = 1.4142
7 8/9
8/9 log 7
8/9(.8450) = .9507
ANT = 8.9276
5 3/5
3/5 log 5
3/5(.6989) = .4190
ANT = 2. 6265
10 2/6
2/6 log 10
2/6(1) = .3333
ANT = 2. 1544
5 7/9
7/9 log 5
7/9(.6989) = .5436
ANT = 3. 4965
9 3/7
3/7 log 9
3/7(.9542) = .4089
ANT = 2. 5642
4 6/4
6/4 log 4
6/4(.6020) = .9030
ANT = 8
11 1/2
1/2 log 11
1/2(1.6413) = .5206
ANT = 3.3166
8 5/4
5/4 log 8
5/4(.9030) = 1.1288
ANT = 13.4543
3 1/5
1/5 log 3
1/5(.4771) = .0954
ANT = 1.2457
2 4/4
4/4 log 2
4/4(.3010) = .3010
ANT = 2
7 8/9
8/9 log 7
8/2(.8450) = .7511
ANT = 5.6389
4 5/2
5/2 log 4
5/2(.6020) = 1.5051
ANT = 32
7 6/9
6/9 log 7
6/9(.8450) = .5633
ANT = 3.6593
Fraccion con exponente en fraccion
3/7 1/6
1/6 log 3/7
1/6(.4285) = .-3679
ANT = .8683
6/8 1/5
6/8 log 1/5
6/8(.75) = .-0249
ANT = .9440
5/9 4/2
5/9 log 4/2
5/9(.5555) = -3.0210
ANT = 9.5259
6/7 3/3
6/7 log 3/3
6/7(.8571) = -.0669
ANT = .8571
9/8 3/5
3/5 log 9/8
3/5(.1.125) = .0306
ANT = 1.0732
8/7 2/4
2/4 log 8/7
2/4(1.1428) = .0289
ANT = 1.0690
7/3 6/7
6/7 log 7/7
6/7(2.3333) = .3154
ANT = 2.0673
7/9 8/8
8/8 log 7/9
8/8(.7777) = -.1091
ANT = .7777
3/4 6/3
6/3 log 3/4
6/3(.75) = -.2498
ANT = .5625
3/9 1/8
1/8 log 3/9
1/8(.3333) = -.0596
ANT = .8716
4/5 8/6
8/6 log 4/5
8/6(8) = -1550
ANT = 6999
8/7 3/4
3/4 log 8/7
3/4(1.1428) = .0434
ANT = 1.1053
6/2 1/2
1/2 log 6/2
1/2(3) = .2385
ANT = 1.7320
9/8 8/9
8/9 log 9/8
8/9(1.125) = .0454
ANT = 1.1103
7/4 5/2
5/2 log 7/4
5/2(1.75) = .6075
ANT = 4.0513
4/9 6/8
6/8 log 4/9
6/8(-.4444) = -.2641
ANT = .5443
A² B log A
4 3
3 log 4
3(.6020) = 1. 8060
ANT = 63. 9734
6 9
9 log 6
9(.7781) = 7. 0029
ANT = 100669
88 7
7 log 88
7(1.9444) = 13. 6108
ANT = 4.0813
4 8
4 log 8
8(.6020) = 2. 408
ANT = 255.8585
13 27
27 log 13
27(1.1139) = 30. 0753
ANT = 1. 1893
3²
2 log 3
2(.4771) = .9542
ANT = 8. 9991
5 4
4 log 5
4(.6989) = 2. 7956
ANT = 624. 5971
18 7
7 log 18
7(1.2552) = 8.7864
ANT = 611. 504
50 10
10 log 50
10(1.6989) = 16.989
ANT = 9. 7498
10 8
8 log 10
8(1) = 8
ANT = 100,00
23 7
7 log 23
7(1.3617) = 9.5319
ANT = 3. 4032
19 3
3 log 19
3(1.2787) = 3. 8361
ANT = 6856. 4608
15²
2 log 15
2(1.1760) = 2. 3521
ANT = 225
19 9
9 log 19
9(1.7787) = 11. 5087
ANT = 3. 2268
21 6
6 log 21
6(1.3222) = 7. 9333
ANT = 85,7661
27 6
6 log 27
6(1.4313) = 8.588
ANT = 387. 4204
Exponent en fraccion
5 3/5
3/5 log 5
3/5(.6989) = .4190
ANT = 2. 6265
3 1/2
1/2 log 3
1/2(.4771) = .2385
ANT = 1.7320
4 1/4
1/4 log 4
4/1(.6020) = .1505
ANT = 1.4142
7 8/9
8/9 log 7
8/9(.8450) = .9507
ANT = 8.9276
5 3/5
3/5 log 5
3/5(.6989) = .4190
ANT = 2. 6265
10 2/6
2/6 log 10
2/6(1) = .3333
ANT = 2. 1544
5 7/9
7/9 log 5
7/9(.6989) = .5436
ANT = 3. 4965
9 3/7
3/7 log 9
3/7(.9542) = .4089
ANT = 2. 5642
4 6/4
6/4 log 4
6/4(.6020) = .9030
ANT = 8
11 1/2
1/2 log 11
1/2(1.6413) = .5206
ANT = 3.3166
8 5/4
5/4 log 8
5/4(.9030) = 1.1288
ANT = 13.4543
3 1/5
1/5 log 3
1/5(.4771) = .0954
ANT = 1.2457
2 4/4
4/4 log 2
4/4(.3010) = .3010
ANT = 2
7 8/9
8/9 log 7
8/2(.8450) = .7511
ANT = 5.6389
4 5/2
5/2 log 4
5/2(.6020) = 1.5051
ANT = 32
7 6/9
6/9 log 7
6/9(.8450) = .5633
ANT = 3.6593
Fraccion con exponente en fraccion
3/7 1/6
1/6 log 3/7
1/6(.4285) = .-3679
ANT = .8683
6/8 1/5
6/8 log 1/5
6/8(.75) = .-0249
ANT = .9440
5/9 4/2
5/9 log 4/2
5/9(.5555) = -3.0210
ANT = 9.5259
6/7 3/3
6/7 log 3/3
6/7(.8571) = -.0669
ANT = .8571
9/8 3/5
3/5 log 9/8
3/5(.1.125) = .0306
ANT = 1.0732
8/7 2/4
2/4 log 8/7
2/4(1.1428) = .0289
ANT = 1.0690
7/3 6/7
6/7 log 7/7
6/7(2.3333) = .3154
ANT = 2.0673
7/9 8/8
8/8 log 7/9
8/8(.7777) = -.1091
ANT = .7777
3/4 6/3
6/3 log 3/4
6/3(.75) = -.2498
ANT = .5625
3/9 1/8
1/8 log 3/9
1/8(.3333) = -.0596
ANT = .8716
4/5 8/6
8/6 log 4/5
8/6(8) = -1550
ANT = 6999
8/7 3/4
3/4 log 8/7
3/4(1.1428) = .0434
ANT = 1.1053
6/2 1/2
1/2 log 6/2
1/2(3) = .2385
ANT = 1.7320
9/8 8/9
8/9 log 9/8
8/9(1.125) = .0454
ANT = 1.1103
7/4 5/2
5/2 log 7/4
5/2(1.75) = .6075
ANT = 4.0513
4/9 6/8
6/8 log 4/9
6/8(-.4444) = -.2641
ANT = .5443
Propiedad 2 Divicion
Propiedad 2
Divicion
A÷B log A – log B
20÷ 5
Log 20 – log 5
1.3010 – (+ .6989) = .6021
.6021 ANT = 4
10÷ 30
Log 10 – log 30
1 – (+1 .4771) =- .4771
-.4771 ANT =- .3333
15÷ 130
Log 15 – log 130
1.1760 – (+ 2.1139) = -.9379
-.9379 ANT = .1153
150÷ 200
Log 150 – log 200
2.1760 – (+ 2.3010) = -.125
-.125 ANT = .7598
88÷ 100
Log 88 – log 100
1.9444 – (+ 2) = -.0556
-.0556 ANT = .8798
19÷ 94
Log 19 – log 94
1.2787 – (+ 1.9731) = -.6944
-.6944 ANT = .2021
99÷ 26
Log 99 – log 26
1.9956 – (+ 1.4149) = -.5807
-.5807 ANT = 3.8080
26÷ 3
Log 15 – log 130
1.4149 – (+ .4771) = -.9378
-.93798ANT = 8.6656
17÷ 94
Log 17 – log 94
1.2304 – (+ 2.1139) = -1.9731
-1.9731 ANT = .1808
5÷ 17
Log 5 – log 7
.6989 – (+ 1.2304) = -.5315
-.5315 ANT = .2941
86÷ 68
Log 86 – log 68
1.9344 – (+ 1.8325) = -.1019
-.1019 ANT = 1.2644
Divicion con decimal
.1523÷.4785
-.8175 + .3201 =.4972
-.4972 ANT= .3182
.1994÷.1705
-.7002 + .7682 =.068
.068 ANT= 1.1694
.1962÷.4806
-.7073 + .3182 =-.3891
-.3891 ANT= .4082
.1968÷.3042
-.7059 + .5168 =-.1891
-.1891 ANT= .6469
.8619÷.2510
-.0645 + .6003 =.5358
.5358 ANT= 3.4339
.8490÷.2150
-.0710 + .6675 =.5965
.5965 ANT= 3.9491
.3319÷.1122
-.4789 + .9500 =.4711
.4711 ANT= 2.9586
.1725÷.1826
-.7632 + .7384 =-.0248
-.0248 ANT= .9444
.2356÷.1346
-.6278 + .8709 =.2431
.2431 ANT= 1.7502
.7891÷.1011
-.1028 + .9952 =.8924
.8924 ANT= 7.8054
.3132÷.4647
-.5041 + .3328 =-.1713
-.1713 ANT= .6740
Divicion con entero y decimal
35÷4.173
1.5440 - .6204 =.9236
.9236 ANT= 8.3868
10÷5.425
1 - .7343 =.2657
.2657 ANT= 1.8437
82÷6.967
1.9138 - .8430 =.1.0708
1.0708 ANT= 11.7706
17÷7.199
1.2304 - .8572 =.3732
.3732 ANT= 2.3615
18÷8.931
1.2552 - .9509 =.3043
.3043 ANT= 2.0151
150÷10.260
2.1760 – 1.011 =1.1649
1.1649 ANT= 14.6184
230÷1.114
2.3617 - .0468 =2.3149
2.3149 ANT= 206.4904
320÷2.546
2.5051 - .4038 =2.0993
2.0993 ANT= 125.6897
25÷3.304
1.3979 - .5190 =.8789
.8789 ANT= 7.5665
8÷4.101
.9030 - .6128 =.2902
.2904 ANT= 1.9507
9÷11.20
1.9542 – 1.0492 =.095
.095 ANT= 1.2445
Divicion
A÷B log A – log B
20÷ 5
Log 20 – log 5
1.3010 – (+ .6989) = .6021
.6021 ANT = 4
10÷ 30
Log 10 – log 30
1 – (+1 .4771) =- .4771
-.4771 ANT =- .3333
15÷ 130
Log 15 – log 130
1.1760 – (+ 2.1139) = -.9379
-.9379 ANT = .1153
150÷ 200
Log 150 – log 200
2.1760 – (+ 2.3010) = -.125
-.125 ANT = .7598
88÷ 100
Log 88 – log 100
1.9444 – (+ 2) = -.0556
-.0556 ANT = .8798
19÷ 94
Log 19 – log 94
1.2787 – (+ 1.9731) = -.6944
-.6944 ANT = .2021
99÷ 26
Log 99 – log 26
1.9956 – (+ 1.4149) = -.5807
-.5807 ANT = 3.8080
26÷ 3
Log 15 – log 130
1.4149 – (+ .4771) = -.9378
-.93798ANT = 8.6656
17÷ 94
Log 17 – log 94
1.2304 – (+ 2.1139) = -1.9731
-1.9731 ANT = .1808
5÷ 17
Log 5 – log 7
.6989 – (+ 1.2304) = -.5315
-.5315 ANT = .2941
86÷ 68
Log 86 – log 68
1.9344 – (+ 1.8325) = -.1019
-.1019 ANT = 1.2644
Divicion con decimal
.1523÷.4785
-.8175 + .3201 =.4972
-.4972 ANT= .3182
.1994÷.1705
-.7002 + .7682 =.068
.068 ANT= 1.1694
.1962÷.4806
-.7073 + .3182 =-.3891
-.3891 ANT= .4082
.1968÷.3042
-.7059 + .5168 =-.1891
-.1891 ANT= .6469
.8619÷.2510
-.0645 + .6003 =.5358
.5358 ANT= 3.4339
.8490÷.2150
-.0710 + .6675 =.5965
.5965 ANT= 3.9491
.3319÷.1122
-.4789 + .9500 =.4711
.4711 ANT= 2.9586
.1725÷.1826
-.7632 + .7384 =-.0248
-.0248 ANT= .9444
.2356÷.1346
-.6278 + .8709 =.2431
.2431 ANT= 1.7502
.7891÷.1011
-.1028 + .9952 =.8924
.8924 ANT= 7.8054
.3132÷.4647
-.5041 + .3328 =-.1713
-.1713 ANT= .6740
Divicion con entero y decimal
35÷4.173
1.5440 - .6204 =.9236
.9236 ANT= 8.3868
10÷5.425
1 - .7343 =.2657
.2657 ANT= 1.8437
82÷6.967
1.9138 - .8430 =.1.0708
1.0708 ANT= 11.7706
17÷7.199
1.2304 - .8572 =.3732
.3732 ANT= 2.3615
18÷8.931
1.2552 - .9509 =.3043
.3043 ANT= 2.0151
150÷10.260
2.1760 – 1.011 =1.1649
1.1649 ANT= 14.6184
230÷1.114
2.3617 - .0468 =2.3149
2.3149 ANT= 206.4904
320÷2.546
2.5051 - .4038 =2.0993
2.0993 ANT= 125.6897
25÷3.304
1.3979 - .5190 =.8789
.8789 ANT= 7.5665
8÷4.101
.9030 - .6128 =.2902
.2904 ANT= 1.9507
9÷11.20
1.9542 – 1.0492 =.095
.095 ANT= 1.2445
Propiedad 1 multiplcacion
Propiedad 1
Multiplicación de logaritmos log A + log B
A B
5x3
Log 5 + log 3
.6889+ .4771 = 1.176
1.176 ANT = 14.9968
10 ejemplos
130x15
Log 130 + log 15
2.1139+ 1.1760 = 3.2899
3.2899 ANT = 1,949.3956
20x50
Log 20 + log 50
1.3010+ 1.6989 = 2.9999
2.9999 ANT = 999.7697
111x66
Log 111 + log 66
2.0453+ 1.8195 = 3.8648
3.8648 ANT = 7324.8713
36x24
Log 36 + log 24
1.5563+1.3802 = 2.9365
2.9365 ANT = 863.9726
615x150
Log 615 + log 150
2.7888 + 2.1760 = 4.9648
4.9648 ANT = 92214.6665
89x79
Log 89 + log 79
1.9493 + 1.8976 = c
4.9648 ANT = 7029.1045
56x3
Log 56 + log 3
1.7481 + .4771 = 2.2252
2.2252 ANT = 167.9577
4x93
Log 4 + log 93
.6020 + 1.9684 = 2.5704
2.5704 ANT = 371.8775
25x30
Log 25 + log 30
1.3979+ 1.4771 = 2.875
2.875 ANT = 749.8942
93x7
Log 93 + log 7
1.9684 + .8450 = 2.809
2.809 ANT = 644.1692
Multiplicación con decimal
10 ejemplos
.7081 x 3.14
Log .1081 + log 3.14
-.1499 + 4969 = .3470
-3470 ANT = -2.223
.9353x .8811
Log .9353 + log 8811
-.0290 + (-.0549) = -.0839
-.0839 ANT = -1.2131
.8176x .7811
Log .8176 + log .7811
-.0874 + (-.1072) = -.146
-.146 ANT = .7144
.5126x .8395
Log . 5126 + log .8395
-.2902 + (-..759) = -1.0492
-1.0492 ANT = .0892
.4321 x .1234
Log .4321 + log .1234
-.3644 + (-.9086) = -1.273
-1.273 ANT = 0.0533
.2256 x .2530
Log .2256 + log .2530
-.6466 + (-.5968) = -1.2434
-1.2434 ANT = .0570
.3711 x .2510
Log .3711 + log .2510
-.4305 + (-.6003) = -1.0308
-1.0308 ANT = .0931
.2233 x .1155
Log .2233 + log .1155
-.6511 + (-.9374) = -1.5885
-1.5885 ANT = 0.0257
.1515 x .5589
Log .1515 + log .5589
-.8195 + (-.2526) = -1.0721
-1.0721 ANT = 0.6847
.1819 x .4139
Log .1819 + log .4139
-.7401 + (-.3831) = -1.1232
-1.1232 ANT = 0.0753
.3834 x .3419
Log .3834 + log .3419
-.7401 + (-.3831) = -.8824
-.8824 ANT = 0.1309
Multiplicación de logaritmos log A + log B
A B
5x3
Log 5 + log 3
.6889+ .4771 = 1.176
1.176 ANT = 14.9968
10 ejemplos
130x15
Log 130 + log 15
2.1139+ 1.1760 = 3.2899
3.2899 ANT = 1,949.3956
20x50
Log 20 + log 50
1.3010+ 1.6989 = 2.9999
2.9999 ANT = 999.7697
111x66
Log 111 + log 66
2.0453+ 1.8195 = 3.8648
3.8648 ANT = 7324.8713
36x24
Log 36 + log 24
1.5563+1.3802 = 2.9365
2.9365 ANT = 863.9726
615x150
Log 615 + log 150
2.7888 + 2.1760 = 4.9648
4.9648 ANT = 92214.6665
89x79
Log 89 + log 79
1.9493 + 1.8976 = c
4.9648 ANT = 7029.1045
56x3
Log 56 + log 3
1.7481 + .4771 = 2.2252
2.2252 ANT = 167.9577
4x93
Log 4 + log 93
.6020 + 1.9684 = 2.5704
2.5704 ANT = 371.8775
25x30
Log 25 + log 30
1.3979+ 1.4771 = 2.875
2.875 ANT = 749.8942
93x7
Log 93 + log 7
1.9684 + .8450 = 2.809
2.809 ANT = 644.1692
Multiplicación con decimal
10 ejemplos
.7081 x 3.14
Log .1081 + log 3.14
-.1499 + 4969 = .3470
-3470 ANT = -2.223
.9353x .8811
Log .9353 + log 8811
-.0290 + (-.0549) = -.0839
-.0839 ANT = -1.2131
.8176x .7811
Log .8176 + log .7811
-.0874 + (-.1072) = -.146
-.146 ANT = .7144
.5126x .8395
Log . 5126 + log .8395
-.2902 + (-..759) = -1.0492
-1.0492 ANT = .0892
.4321 x .1234
Log .4321 + log .1234
-.3644 + (-.9086) = -1.273
-1.273 ANT = 0.0533
.2256 x .2530
Log .2256 + log .2530
-.6466 + (-.5968) = -1.2434
-1.2434 ANT = .0570
.3711 x .2510
Log .3711 + log .2510
-.4305 + (-.6003) = -1.0308
-1.0308 ANT = .0931
.2233 x .1155
Log .2233 + log .1155
-.6511 + (-.9374) = -1.5885
-1.5885 ANT = 0.0257
.1515 x .5589
Log .1515 + log .5589
-.8195 + (-.2526) = -1.0721
-1.0721 ANT = 0.6847
.1819 x .4139
Log .1819 + log .4139
-.7401 + (-.3831) = -1.1232
-1.1232 ANT = 0.0753
.3834 x .3419
Log .3834 + log .3419
-.7401 + (-.3831) = -.8824
-.8824 ANT = 0.1309
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