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Question

Question: If log<sub>x</sub>a, a<sup>x/2</sup>, log<sub>b</sub> x are in G.P. then x equals –...

If logxa, ax/2, logb x are in G.P. then x equals –

A

loga(logb a)

B

loga(loge a) + loga(loge b)

C

– loga(loga b)

D

loga(loge b) – loga(loge a)

Answer

loga(logb a)

Explanation

Solution

ax =logx a. logb x Ž ax = logb a Ž x = loga(logb a)