What is a Logarithmic and Exponential Function?

A logarithmic function is the inverse of an exponential function,

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and the form for that is and  is called the exponential form.

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How to understand the form? 

The “log” part of the function is simply three letters that denote the fact that we are dealing with a logarithm. B is subscripted on the “log” part to tell us what the base is as this is an essential piece of information. 

 

 

 

 

 

 

 

 

 

 

Tips:

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Keep the notation with logarithms straight

You can’t take the logarithm of zero or a negative number

The “log,” “b,” and “x” are not variables aren’t signifying multiplication