MCQ practice · SSC General Mathematics Board questions · Chapter 4: Exponents and Logarithms
What is the value of log_√5 125?
Think it through first, then pick an option.
- a 3
- b 5
- c 6
- d 8
Answer and explanation
Correct answer: c 6
125 = 5³ = (√5)⁶, so the log is 6.
Why the other options are wrong
- a 3: (√5)³ = 5√5, not 125; 5³ = 125 but the base is √5.
- b 5: 5 is the square of √5; with log 5 we would get (√5)⁵ = 25√5.
- d 8: (√5)⁸ = 625, which is not 125. The correct answer is 6.
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