If log10 x - log10x3 = 6 logx 10 then the value of x is
Explanation:
log10 x - log10 x3 = 6log10x
∴ log10 x - 13 log10 x = 6log10x
log10 x = a
∴ a2 - 13 a2 = 6
∴ a2 = 9
∴ a = ±3
As log cannot be negative a = 3
∴ log10 x = 3
∴ x = 1000
Hence, option (d).
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