# Solve for x log base 8 of 4=x

Rewrite the equation as .
Logarithm base of is .
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:
Solve for x log base 8 of 4=x