Combine and .

Rewrite as .

Simplify by moving inside the logarithm.

Rewrite as .

Expand by moving outside the logarithm.

Simplify by moving inside the logarithm.

Raise to the power of .

Use the product property of logarithms, .

Move to the left of .

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 .

Simplify the left side of the equation by cancelling the common factors.

Cancel the common factor.

Divide by .

Divide by .

Raise each side of the equation to the power to eliminate the fractional exponent on the left side.

Raise to the power of .

Solve for x 1/2* log of x+ log of 4=2