Evaluate the logarithmic expression . The value is _______.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of logarithmic expressions and the ability to convert them into exponential form.
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 125 as a power of 5:
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