loga \(\sqrt 2 = \frac{1}{6}\) ?

log_a \(\sqrt 2 = \frac{1}{6}\) ?

A 2

B 4

C 8

D 16

Solution

Correct Answer: Option C

log_a \(\sqrt 2 = \frac{1}{6}\) বা, a^{\(\frac{1}{6}\)} =\(\sqrt 2 \) বা, a\(\frac{1}{3} \times \frac{1}{2}\) =2^{\(\frac{1}{2}\)} বা, a^{\(\frac{1}{3}\)} = 2 বা, a = 2³ a = 8

Solution

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