MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function
What is the value of log_(2√5) 400?
Think it through first, then pick an option.
- a 2
- b 4
- c 6
- d 8
Answer and explanation
Correct answer: b 4
(2√5)⁴ = 16·25 = 400, so the value is 4.
Why the other options are wrong
- a 2: 2 would hold if 400 = (2√5)²; but (2√5)² = 20.
- c 6: (2√5)⁶ = 8000, not 400, so this option does not answer the question.
- d 8: (2√5)⁸ = 160000, not 400, so this option does not answer the question.
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