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As we just learned logarithms are simply exponents, so as you might
expect the same laws or rules apply to performing operations on
exponents and logarithms.
Here are the basic rules for expanding logarithmic functions:
Using these rules you can expand or rewrite logarithmic functions
in a way to help you solve them.
Example
Let’s look at an example:
Determine the value of log3
First lets set log3
=
to x
We now have log3
=
x
Then we can rewrite the equation such that 3x =
Remember that the log function is another way to write an
exponent.
Now we can reduce
to
 which
is equal to 33/4
Therefore log3
=
33/4
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