Use the product property of logarithms, .

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

Evaluate the exponent.

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 .

Divide by .

Solve for x log of 2+ log of x=1