Inverse Functions
Introduction to Logarithms
Examples
Example 1Using the definition of logarithms, convert the following logarithmic equation to an exponential equation:
log4x = 2
If 
then 
or x = 16.
25 = 52
If 25 = 52 then
log9 x = ½
If log9 x = ½ then x = 9(1/2) and x =
and x = 3
then or x = 16. Example 2
Using the definition of logarithms, convert the following exponential equation to a logarithmic equation:
25 = 52
If 25 = 52 then
Example 3
Using the definition of logarithms, convert the following logarithmic equation to an exponential equation:
log9 x = ½
If log9 x = ½ then x = 9(1/2) and x =
and x = 3