Definition of Exponential Function

The exponential function f with base a is denoted by tex2html_wrap_inline38 , where tex2html_wrap_inline40 , and x is any real number. The function value will be positive because a positive base raised to any power is positive. This means that the graph of the exponential function tex2html_wrap_inline38 will be located in quadrants I and II.

For example, if the base is 2 and x = 4, the function value f(4) will equal 16. A corresponding point on the graph of tex2html_wrap_inline46 would be (4, 16).

Definition of Logarithmic Function

For x >0, a>0 , and tex2html_wrap_inline40 , we have


Since x > 0, the graph of the above function will be in quadrants I and IV.

Comments on Logarithmic Functions

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