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Logarithm

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  1. If log8 x + log4 x + log2x =11, then the value of x is ?
    1. 2
    2. 4
    3. 8
    4. 64
Correct Option: D

∵ 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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