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

Simplify the expression.

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Rewrite the equation as .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .

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:

Solve for x log base 9 of 5x-1=1/2