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The logarithm is the inverse function of exponentiation. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be increased in order to obtain that number x.The logarithm counts the number of times the same factor appears in repeated multiplication in the simplest instance.
Here is all about the Exponential and Logarithmic Functions:
Question 1: What is the relationship between exponential functions and logarithmic functions?
Exponential function is the inverse of logarithmic function.
The logarithmic equation 
Question 2: How are exponential and logarithmic functions related?
The logarithmic equation
Question 3: How to solve exponential and logarithmic functions?
To solve an exponential equation, examine if both sides of the problem can be written as powers of the same number.If you can't, take the common logarithm of both sides of the equation and use property 
To solve a logarithmic equation, write it in the form log 
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