longaritmo

Logaritmos propiedad 1 A.B log A + log B
3.7
Log 3 + log 7
.4771 + .8450
1.3221 ant.
20.9942

4.6
Log 4 + log 6
.6020 + .7781
1.3801 ant.
23.9938

5.8
Log 5 + log 8
.6989 + .9030
1.6019 ant.
.2046

3.2
Log 3 + log 2
.4771 + .3010
.7781 ant.
.1089

6.4
Log 6 + log 4
.7781 + .6020
1.3801 ant.
.1399

6.9
Log 6 + log 9
.7781 + 9542
1.7323 ant.
.2389

7.8
Log 7 + log 8
.8450 + .9030
1.748 ant.
55.9757

3.4
Log 3 + log 4
.4771 + .6020
1.0791 ant.
11.9977

5.5
Log 5 + log 5
.6989 + .6989
1.3978 ant.
24.9919

3.8
Log 3 + log 8
.4771 + .9030
1.3801 ant.
23.9938

(.4771)(.8450)
Log .4771 + log .8450
-.3213 + .845
.5237 ant.
13.3396

(.6020)(.7781)
Log .6020 + log .7781
-.2204 + - .1089
-.3293 ant.
12.1245

(.6989)(.9030)
Log .6989 + log 9030
-.1558 + -.0493
-.2001 ant.
.6308

(.4771)(.8450)
Log .4771 + log .8450
-.3213 + -.0731
-.3944 ant.
.4032

(.7781)(.6020)
Log .7781 + log .6020
-.1080 + - .2204
-0.3284 ant.
.4694

(.7781)(.9542)
Log .7781 + log .9542
-.1089 + -.0203
-.1292 ant.
.7426

(.8450)(.9030)
Log .8450 + log .9030
-.0731 + - .0443
-.1174

(.4771)(6020)
Log .4771 + log 6020
-.3213 + -.2204
-.5417 ant.
.2872

(.6989)(.6989)
Log .6989 + log .6989
-.1555 + - .1555
-.311

(.4771)(.9030)
Log .4771 + log .9030
-.3214 + - .0443
-.3656 ant.
.4309

Propiedad 2 A/B log a – log b
10/3
Log 10 – log 3
1-(+.4771)
1-.4771
.5229 ant.
13.3334

12/6
Log 12 + log 6
1.0791 – (+.7781)
1.0791-.7781
0.301 ant.
1.9998

20/8
Log 20 - log 8
1.3010 – (+-9030)
1.3010-.9030
0.398 ant.
2.5003

11/4
Log 11 – log 4
1.0413 – (+.6020)
1.0413-.6020
.4393 ant.
2.7497

15/2
Log 15 – log 2
1.1760 – (+.3010)
1.1760 -.3010
0.875 ant.
7.4989

4/6
Log 4 + log 6
1.1461 – (+.7781)
1.1461-.7781
0.368 ant.
2.3334

18/9
Log 18 – log 9
1.2552 – (+.9542)
1.2552 - .9542
0.301 ant.
1.9998

12/4
Log 12 – log 4
1.0791 – (+.6020)
1.0791 - .6020
0.4771 ant.
2.9998

6/3
Log 6 – log 3
.7781 - .4771
0.301 ant.
1.9998

10/4
Log 10 – log 4
1-(+6020)
1-.6020
0.398
2.5003

0.8293/0.9283
Log 0.8293 – log 0.9283
-.0323 –(-.3231)
-.0323+.3231
.2908 ant.
11.9534

0.1234/0.2468
Log 0.1234-log0.2468
-.9086-(-.6076)
-.9086+.6076
-.3016 ant.
.4993

0.8996/0.9869
Log 0.8996 – log 0.9869
-.0459 – (-.7268)
-.0459+.7268
.6809 ant.
4.7962

0.4891/0.5002
Log .4891-log0.5002
-.3106-(-.2454)
-.3106+.2454

0.9172/0.2719
Log 0.9172-log0.2719
-.0375-(-.5655)
-.0775+.5655
0.528 ant.
3.3728

0.9712/0.5020
Log0.9712-log0.5020
-.0126-(-.2992)
-.0126+.2992
.2860 ant.
1.9346

0.2892/0.8491
Log0.2892-log0.8491
-.5388-(-.0710)
-.5388+.0710
-.467 ant.
.3411

0.3146/0.1628
Log0.3146-log0.1628
-.5022-(-.7883)
-.5022+.7883
.2861 ant.
1.9324

0.9289/0.4228
Log 0.9289-log0.4228
-.0320-(-.3738)
-.0329+-3738
.3418 ant.
2.1968

0.2182/0.8421
Log0.2182-log0.8421
-.6611-(-.0746)
-.6611+-0746
.5865 ant.
3.8592

56/0.872
Log 56-log0.872
1.7481-(-.0594)
1.7481+.0594
1.8075 ant.
64.1948

70/2.921
Log 70-log2.921
1.8450-(+.4655)
1.8450-.4655
1.3795 ant.
23.9607

10/3.422
Log10-log3.422
1-(+.5342)
1-.5342
.4658 ant.
2.9228

12/4.268
Log12-log4.268
1.0791-(+.6302)
1.0791-.6302
.4489 ant.
2.8112

82/6.469
Log 82 –log6.469
1.9139-(+.8108)
1.9139-.8108
1.103 ant.
10.7151

92/3.539
Log92-log3.539
1.9637- (+.5488)
1.9637-.5488
1.4149 ant.
25.9956

86/4.352
Log86-log4.352
1.9344-(+.6386)
1.9344-.6386
1.2958 ant.
19.7605

10/2.134
Log10-log2.134
1-(+.3291)
1-.3291
.6709 ant.
4.6870

20/3.431
Log20-log3.431
1.3010-(+.5354)
1.3010-.5354
.7656 ant.
5.8290

34/5.324
Log34-log5.324
1.5314-(+.7261)
1.5314-.7261
.8053 ant.
6.3870

Propiedad 3 a^b
B log a

Ejemplo 1


〖25〗^8
8 log⁡〖25 〗
8(1.3979)
11.1835 ant.
1.5258

〖71〗^30
30 log⁡〖71 〗
30 (1.8512)
55.53 ant.
3.3884

〖58〗^22
22 log⁡58
22 (1.7634)
38.7954 ant.
6.2433

〖96〗^12
12 log⁡96
12(1.9822)
23.7872 ant.
6.1270

〖108〗^2
2 log⁡108
2 (2.0334)
4.0668 ant.
11,664

〖311〗^7
7 log⁡〖311 〗
7(2.4927)
17.4493 ant.
2.8138

〖50〗^3
3 log⁡〖50 〗
3 (1.6989)
5.0969 ant.
12,5000

〖334〗^18
18 log⁡〖334 〗
18 (2.5237)
45.4274 ant.
2.6756

〖971〗^27
27 log⁡971
27 (2.9872)
80.6549 ant.
4.5177

〖721〗^10
10 log⁡〖721 〗
10 (2.8579)
28.5793 ant.
3.7962

〖518〗^5
5 log⁡〖518 〗
5 (2.7143)
13.5716 ant.
3.7294

〖800〗^12
12 log⁡〖800 〗
12 (2.9030)
34.8370 ant.
6.8719

5^2
2 log⁡〖5 〗
2 (0.6989)
1.3979 ant.
25

9^4
4 log⁡9
4 (0.9542)
3.8169 ant.
6,561

7^3
3 log⁡〖7 〗
7(0.8450)
2.5352 ant.
343

Ejemplo 2

〖58〗_4^1
1/4 log⁡〖58 〗
1/4 (1.7634)
0.4408 ant.
2.7596


〖62〗_8^2
2/8 log⁡〖62 〗
2/8 (1.7923)
0.4480 ant.
2.8060

〖78〗_3^7
7/3 log⁡〖78 〗
7/3 (1.8920)
4.4148 ant.
25,994

〖102〗_5^1
1/5 log⁡102
1/5 (2.0086)
0.4017 ant.
8.0344

〖353〗_9^8
8/9 log 353
8/9 (2.5477)
62.2646 ant.
183.9452

4_2^6
6/2 log⁡〖4 〗
6/2 (0.6020)
1.8061 ant.
64

〖10〗_7^1
1/7 log⁡〖10 〗
1/7 (1)
0.1428 ant.
1.3894

〖18〗_3^3
3/3 log⁡〖18 〗
3/3 (1.2552)
1.2552 ant.