If \(\log_5(\log_8(x^2 - 1)) = 0\), then a possible value of \(x\) is
Question and options
If , then a possible value of is
- 2
- 2
- 3
Answer and explanation
Correct answer: D - 3
A log equal to 0 means its argument is 1, so log base 8 of (x squared - 1) = 1. Hence x squared - 1 = 8, x squared = 9 and x = 3 or -3; only 3 is offered. Trying 2 root 2 gives x squared - 1 = 7, which does not make the base-8 log equal to 1.
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IPMAT Indore
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