MCQ practice · SSC General Mathematics Board questions · Chapter 4: Exponents and Logarithms
What is the value of log₅(1/25)?
Think it through first, then pick an option.
- a 25
- b 5
- c 2
- d −2
Answer and explanation
Correct answer: d −2
1/25 = 5⁻², so the log is −2.
Why the other options are wrong
- a 25: A log is the index of the base; 5²⁵ is a huge number.
- b 5: 5 is the base, not the index. The correct answer is −2.
- c 2: 5² = 25, not 1/25; the sign must be negative.
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