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Question

Question: Which is the correct order for a given number a\> 1 in increasing order?...

Which is the correct order for a given number a> 1 in increasing order?

A

log2a, log3a, logea, log10a

B

log10a, log3a, logea, log2a

C

log10a, logea, log2a, log3a

D

log3a, logea, log2a, log10a

Answer

log10a, log3a, logea, log2a

Explanation

Solution

Since logx y > logx z

Ž y > z if x > 1

y < z if 0 < x < 1

and logyx > logz x

Ž y < z if x > 1 and y, z > 1

Hence choice [B] is correct.