# LOGARITHMIC FORM TO EXPONENTIAL FORM

## About "Logarithmic form to exponential form"

Logarithmic form to exponential form :

Here we are going to see how to convert the given question from logarithmic form to exponential form.

x = logais the logarithmic form of the exponential form b ax = . In both the forms, the base is same. Let us look into some examples to understand the concept given above.

Example 1 :

Change the following from logarithmic form to exponential form.

log 464   =  3

Solution :

Given logarithmic form :

log 464  = 3

Exponential form :

64  =  43

Example 2 :

Obtain the equivalent exponential form of the following

log162  =  1/4

Solution :

Given logarithmic form :

log162  =  1/4

Exponential form :

2  =  161/4

Example 3 :

Obtain the equivalent exponential form of the following

log5(1/25)  =  -2

Solution :

Given logarithmic form :

log5(1/25)  =  -2

Exponential form :

(1/25)  =  5-2

Example 4 :

Obtain the equivalent exponential form of the following

log100.1 =  -1

Solution :

Given logarithmic form :

log100.1 =  -1

Exponential form :

0.1  =  10-1

Example 5 :

Obtain the equivalent exponential form of the following

log6216 =  3

Solution :

Given logarithmic form :

log6216 =  3

Exponential form :

216  =  63

Example 6 :

Obtain the equivalent exponential form of the following

log93 =  1/2

Solution :

Given logarithmic form :

log93 =  1/2

Exponential form :

3  =  9(1/2)

Example 7 :

Obtain the equivalent exponential form of the following

log51  =  0

Solution :

Given logarithmic form :

log51  =  0

Exponential form :

1  =  50

Example 8 :

Obtain the equivalent exponential form of the following

log√3 9  =  4

Solution :

Given logarithmic form :

log√3 9  =  4

Exponential form :

9  =  (√3)4

Example 9 :

Obtain the equivalent exponential form of the following

log64 (1/8)  =  -1/2

Solution :

Given logarithmic form :

log64 (1/8)  =  -1/2

Exponential form :

(1/8)  =  64(-1/2)

Example 10 :

Obtain the equivalent exponential form of the following

log0.5 8  =  -3

Solution :

Given logarithmic form :

log0.5 8  =  -3

Exponential form :

8  =  0.5-3 After having gone through the stuff given above, we hope that the students would have understood "Logarithmic form to exponential ".

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