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IPMAT Indore 2025 · Question 20 of 90 · Quantitative Ability (MCQ)

IPMAT Indore 2025 — Question 20

If $lo g_{25} [5 lo g_{3} (1 + lo g_{3} (1 + 2 lo g_{2} x))] = \frac{1}{2}$ then $x$ is

A4
B2
C8
D16

Reveal answer

Correct answer

D.16

Reveal solution

Working outward: $lo g_{3} (1 + 2 lo g_{2} x) = 2$ , so $2 lo g_{2} x = 8$ , $lo g_{2} x = 4$ , $x = 16$ .

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