Algebra-2

Question Analysis
This problem assesses the understanding of the change of base formula and logarithmic properties.

Key Concept Explanation
The change of base formula allows us to express a logarithm in terms of logarithms with any other base. Here, we need to simplify the product of two logarithms.

Step-by-step Solution
1. Use the change of base formula to express both logarithms in terms of common logarithms (base 10):
and
2. Substitute these expressions into the original equation:

3. Simplify the expression by canceling out the common terms:

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