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If log 8 x + log 4 x + log 2x =11, then the value of x is?

Correct Answer: 64

Explanation:

∵ log23 x1 +log22 x1 + log2x = 11
⇒ 1/3log2x + 1/2log2x + log2x = 11
⇒ (1/3 + 1/2 +1)log2x = 11
⇒ 11/6log2x = 11
⇒ log2x = 11 x 6 / 11 =6
∴ x = 26 = 64


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