MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function
What is the value of log_(√2) 8?
Think it through first, then pick an option.
- a 3
- b 4√2
- c 6
- d 8√2
Answer and explanation
Correct answer: c 6
(√2)⁶ = 2³ = 8, so log_(√2) 8 = 6.
Why the other options are wrong
- a 3: 3 is the value of log₂ 8; with the base √2 the exponent doubles: (√2)⁶ = 8, so 6.
- b 4√2: A logarithm is an exponent, so it has no √; (√2)⁶ = 8 gives the value 6.
- d 8√2: 8√2 = (√2)⁷ is itself a number, not the exponent we need; the exponent is 6.
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