If (log 125) / (log 5) = x (same log base in numerator and denominator), find x.

Difficulty: Easy

Correct Answer: 3

Explanation:


Introduction / Context:
A ratio of logarithms with the same base equals a logarithm with the base changed (change-of-base formula). This simplifies to a log with base 5 of 125.


Given Data / Assumptions:
x = (log 125)/(log 5), any consistent base for log.


Concept / Approach:
x = log_5(125) because (log_b A)/(log_b C) = log_C A.


Step-by-Step Solution:

125 = 5^3 ⇒ log_5(125) = 3


Final Answer:
3

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