If , where and are positive real numbers, then the minimum possible value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

\log_{64} x^2 + \log_8 \sqrt{y} + 3 \log_{512} (\sqrt{y}z) = 4

, where

x, y

and

z

are positive real numbers, then the minimum possible value of

(x + y + z)

is (1) A 48 (2) B 36 (3) C 24 (4) D 96