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If mean of logx, log2x, log8, log4x, log4, log x is log4 then x = _______ (where x > 0)

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If mean of logx, log2x, log8, log4x, log4, log x is log4 then x = _______ (where x > 0)

(a) 4

(b) 2

(c) 8

(d) 16

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1 Answer

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Best answer

The correct option (b) 2  

Explanation:

Mean = [(logx + log2x + log8 + log4x + log4 + logx)/6]

∴ [{log(256x4)}/6] = log4

∴ log(256x4) = 6 × log4

∴ 256x4 = 46

∴ x4 = [46/(256)]

∴ x4 = 16

∴ x = 2.  

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