Simplify each term.

Simplify by moving inside the logarithm.

Raise to the power of .

Use the product property of logarithms, .

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

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Solve for x 2 log base 7 of 5+ log base 7 of x = log base 7 of 100