EXPONENTIAL FORM TO LOGARITHMIC FORM WORKSHEET

Obtain the equivalent logarithmic form of the following : 

1)  6-4  =  1/1296

2)  (1/81)3/4  =  1/27

3)  6  =  (216)1/3

4)  (13)-1  =  1/13

5)  1/4  =  8-2/3

6)  251/2  =  5

7)  1/144  =  12-2

8)  0.1  =  10-1 

9)  24  =  16

10)  35  =  243

Answers :

1)  -4  =  log6 (1/1296)

2)  3/4  =  log(1/81) (1/27)

3)  log216 6  =  1/3

4)  -1  =  log13 (1/13)

5)  log8 (1/4)  =  -2/3

6)  1/2  =  log25 5

7)  log12 (1/144)  =  -2

8)  log10 (0.1)  =  -1

9)  4  =  log2 16

10)  5  =  log3 243

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