# Evaluate log base 4 of 1/2

Rewrite as an equation.
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and does not equal , then is equivalent to .
Create expressions in the equation that all have equal bases.
Rewrite as .
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Solve for .
The variable is equal to .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Evaluate log base 4 of 1/2