Respuestas

2012-07-03T02:39:47+02:00

EJERCICIOS DE LOGARITMOS

 

I )  Calcular :

 1 ) log 2 8   =                                                                                                          R :  3

 2 ) log 3 9   =                                                                                                          R :  2

 3 ) log 4 2   =                                                                                                          R :  0,5

 4 ) log 27 3   =                                                                                                         R :  1 / 3

 5 ) log 5 0,2   =                                                                                                       R :  - 1

 6 ) log 2 0,25   =                                                                                                     R :  - 2

 7 ) log 0,5 16   =                                                                                                      R :  - 4

 8 ) log 0,1 100   =                                                                                                    R :  - 2

 9 ) log 3 27   +   log 3 1   =                                                                                     R :  3

10 ) log 5 25   -   log 5 5   =                                                                                               R :  1

11 ) log 4 64   +   log 8 64   =                                                                                 R :  5

12 ) log 0,1   -   log 0,01   =                                                                                  R :  1

13 ) log 5   +   log 20   =                                                                                        R :  2 

14 ) log 2   -   log 0,2   =                                                                                      R :  1

15 ) log 32 / log 2   =                                                                                            R :  5

16 ) log 3 / log 81   =                                                                                            R :  0,25

17 ) log 2 3  ´  log 3 4   =                                                                                        R :  2     

18 ) log 9 25  ¸  log 3 5   =                                                                                                 R :  1

 

 II )  Determinar el valor de   x :

 1 ) log 3 81   =   x                                                                                                   R :  4

 2 ) log 5 0,2   =   x                                                                                                  R :  - 1

 3 ) log 4 64   =   ( 2 x  -  1 ) / 3                                                                            R :  5

 4 ) log 2 16   =   x 3 / 2                                                                                           R :  2

 5 ) log 2 x   =   - 3                                                                                                  R :  1 / 8

 6 ) log 7 x   =   3                                                                                                     R :  343

 7 ) log 6 [ 4 ( x  -  1 ) ]   =   2                                                                                 R :  10

 8 ) log 8 [ 2 ( x 3  +  5 ) ]   =   2                                                                               R :  3

 9 ) log x 125   =   3                                                                                                 R :  5

10 ) log x 25   =   - 2                                                                                               R :  1 / 5

11 ) log 2 x  +  3 81   =   2                                                                                         R :  3

12 ) x  +  2   =   10 log 5                                                                                            R :  3

13 ) x   =   10 4 log 2                                                                                                  R :  16

14 ) x   =   log 8 / log 2                                                                                           R :  3

15 ) x   =   log 625 / log 125                                                                                  R :  4 / 3

16 ) log ( x  +  1 ) / log ( x  -  1 )   =   2                                                                R :  3

17 ) log ( x  -  7 ) / log ( x  -  1 )   =   0,5                                                             R :  10

 

 

 

 

 

 III )  Si   log 2   =   0,301   ,   log 3   =   0,477   y   log 7   =   0,845   ,   entonces :

 1 ) log 8   =                                                                                                             R :  0,903

 2 ) log 9   =                                                                                                             R :  0,954

 3 ) log 5   =                                                                                                             R :  0,699

 4 ) log 54   =                                                                                                           R :  1,732

 5 ) log 75   =                                                                                                           R :  1,875

 6 ) log 0,25   =                                                                                                      R :  - 0,602

 7 ) log ( 1 / 6 )   =                                                                                                   R :  - 0,778

 8 ) log ( 1 / 98 )   =                                                                                                 R :  - 1,991

 9 ) log ( 1 / 36 )   =                                                                                                 R :  - 1,556

10 ) log ( 2 / 3 )   =                                                                                                  R :  - 0,176

11 ) log 0,3   =                                                                                                        R :  - 0,523

12 ) log 1,25   =                                                                                                      R :  0,097

 

 

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