Algebra Examples

Evaluate log base 5 of 125
Step 1
Rewrite as an equation.
Step 2
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and does not equal , then is equivalent to .
Step 3
Create equivalent expressions in the equation that all have equal bases.
Step 4
Since the bases are the same, the two expressions are only equal if the exponents are also equal.
Step 5
The variable is equal to .