Simplify by moving inside the logarithm.

Simplify by moving inside the logarithm.

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

Take the root of both sides of the to eliminate the exponent on the left side.

Simplify .

Apply the power rule and multiply exponents, .

Rewrite the expression using the negative exponent rule .

Simplify the denominator.

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Evaluate the exponent.

Verify each of the solutions by substituting them into and solving.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x 5 log base 2 of x=- log base 2 of 32