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

Math
Simplify each term.
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Simplify by moving inside the logarithm.
Rewrite as .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
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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

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