Algebra Examples

Evaluate log base 8 of 64
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 expressions in the equation that all have equal bases.
Step 4
Rewrite as .
Step 5
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Step 6
Solve for .
Step 7
The variable is equal to .