# Write as a Single Logarithm 2( log base 3 of 8+ log base 3 of z)- log base 3 of 3^4-7^2

Use the product property of logarithms, .

Simplify by moving inside the logarithm.

Apply the product rule to .

Raise to the power of .

Simplify each term.

Raise to the power of .

Raise to the power of .

Multiply by .

Subtract from .

Use the quotient property of logarithms, .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

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