Find the logarithm of 1/256 to the base 2√2.

A -8/3

B -16/3

C -8

D -4

Solution

Correct Answer: Option B

ধরি, log2√2 (1/256) = x
বা, (2√2)x = 1/256
বা, (21 ⋅ 21/2)x = 1/28
বা, (23/2)x = 2-8
বা, 2(3/2)x = 2-8
বা, (3/2)x = -8
বা, 3x = -16
বা, x = -16/3

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