Use the product property of logarithms, .

Use the quotient property of logarithms, .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Logarithm base of is .

Simplify/Condense log base 5 of 2+ log base 5 of 10- log base 5 of 4