Simplify by moving inside the logarithm.

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Evaluate the exponent.

Simplify by moving inside the logarithm.

Simplify by moving inside the logarithm.

Use the quotient property of logarithms, .

Use the product property of logarithms, .

Combine and .

Simplify/Condense 1/2 log base 5 of 16-3 log base 5 of x+4 log base 5 of y