domingo, 27 de marzo de 2011

Logaritmos

Logaritmos
Propiedades de logaritmos
Propiedad 1    AxB
Log a + log b
Ejemplos:
A   B  3x5
Log 5+ log 3
.6989+.4771
1.1760 ANT.
r= 14.996
(.7081) (3.14)
Log.7081+log3.14
-0.1499+.4969
.3470
r= 2.2223
Propiedad 2
A /B
 log a-log b
20/5
1.3010-0.6989
0.6021 ANT.
r= 4
0.1523/0.4785
Log 0.1523-log 0.4785
-8173- (-0.3201)
-8173+0.3201
-0.4972 ANT.
r= 0.3182

35/4.173
Log35-log4.173
1.5440-0.6204
0.9236 ANT.
r=8.386
Ejercicios
Propiedad 1
1.-A b    8x2
log 8 + log 2
.9030+.3010
1.204 ANT.
r=16
2.-A b    
2x3
log 2 + log 3
.3010+0.4771
0.7781 ANT.
r=5.891035415
3.-A b    
 9x5
log 9 + log 5
0.542+0.6989
1.6531 ANT.
r=44.9883
4.-A b 
    8x4
log 8 + log 4
0.9030+0.6020
1.5050ANT.
r=31.9889
5.-A b  
   7x3
log 7 + log 3
0.8450+0.4771
1.3221 ANT.
r=20.99423238
6.-A b 
   2x3
log 2 + log 3
0.3010+04771
0.7781 ANT.
r=4.668049099
7.-A b  
   4x2
log 4 + log 2
0.6020+0.3010
0.9030 ANT.
r=7.9983
8.-A b   
  3x2
log 3 + log 2
0.4771+.3010
0.7781 ANT.
r=5.999
9.-A b
     6x4
log 6 + log 4
0.7781+0.6020
1.3801 ANT.
r=23.9938

10.-A b      
 8x7
log 8 + log 7
0.9030+0.8450
1.7480 ANT.
r=55.9757
Con decimales
11.- A b  
 1.12x3.14
log1.12+log3.14
0.0492+0.4969
0.5461  ANT.
r= 1.92031
12.- A b  
    3.4x8.9
log3.4+log8.9
0.5314+0.9493
1.4807 ANT.
r=30.2428
13.- A b
  .
1416x 1.1213
log.1416+log1.1213
-0.848+0.497
-0.351 ANT.
r=30.2428
14.- A b
1.1612x2.1012

log1.1612+log2.1012
0.0649+0.3224
0.3873ANT.
r=2.100873

15.- A b
2.3x1.2
log2.3xlog1.2
0.3617+0.07918
0.44088 ANT.
r=2.7598
16.- A b
0.1218x1.1417
log0.1218xlog1.1417
-0.9143+0.0575
-0.8567 ANT.
r=0.1390
17.- A b
0.9412x1.1711=1.1020
log.9412+log1.1711
-0.0263+0.0685
0.0422 ANT
r=1.1020
18.- A b
8.942x1.213
log8.942+log1.213
0.9514+0.0838
0.0422 ANT
r=10.8442
19.- A b
0.2214x1.1703
log.2214xlog1.1703
-0.6548+0.0682
-0.5866 ANT.
r=0.2590


20.- A b
1.5x2.3
log 1.5+log2.3
0.1760+0.3617
0.5377 ANT.
r=3.4490

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