Algebra-2

Question Analysis
This problem assesses the ability to evaluate a logarithmic expression by converting it into an exponential form and solving for the exponent, particularly when the base and argument are expressed as powers of the same number.

Key Concept Explanation
The logarithmic expression represents the exponent to which the base must be raised to obtain the argument . In this case, we need to find the exponent such that .

Step-by-step Solution
1. Let . According to the definition, convert it to the exponential equation ;
2. Express

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