If \( \Large 2 log \left(x+1\right)-10g \left(x^{2}-1\right) = log^{2} \), then x equals

A) 1

B) 0

C) 2

D) 3

Correct answer:
D) 3

Description for Correct answer:

By definition x ≠ 1, =1

Given equation can be written as

\( \Large log \frac{ \left(x+1\right)^{2} }{x^{2}-1} = log2 => \frac{x+1}{x-1}=2 => x = 3\)



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