MCQ practice · SSC General Mathematics Board questions · Chapter 4: Exponents and Logarithms
What is the log of 18 to the base 3√2?
Think it through first, then pick an option.
- a 2
- b 3
- c 4
- d 9
Answer and explanation
Correct answer: a 2
(3√2)² = 9 × 2 = 18, so the log is 2.
Why the other options are wrong
- b 3: (3√2)³ = 54√2, not 18. The correct answer is 2.
- c 4: (3√2)⁴ = 324, not 18. The correct answer is 2.
- d 9: (3√2)⁹ is far too large; 9 is not the log.
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