Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .

Raise to the power of .

Rewrite the equation as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Solve for x log base 2 of 5x=3