If (log 125) / (log 5) = x (same log base in numerator and denominator), find x.
Aptitude
Logarithm
Difficulty: Easy
Choose an option
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A2
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B3
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C4
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D1 / 2
Answer
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) = 3Final Answer:3