Algebra-2

Question Analysis
This problem requires the student to use the change of base formula and properties of logarithms to solve for an unknown variable.

Key Concept Explanation
The change of base formula is given by: ( ). Additionally, the property of logarithms states that .

Step-by-step Solution
1. Use the change of base formula to express in terms of base 5:

2. Simplify the expression using the property of logarithms:
and

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