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
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.