Let a = 30!, b = 50!, and c = 100!. Consider the following numbers: loga c,…

GATE · 2023 · CE · Set 1 · General AptitudeGATE · 2023 · ST · General Aptitude

Let a = 30!, b = 50!, and c = 100!. Consider the following numbers:

loga c, logc a, logb a, loga b

Which one of the following inequalities is CORRECT?

A.
logc a < logb a < loga b < loga c
B.
logc a < loga b < logb a < logb c
C.
logc a < logb a < loga c < loga b
D.
logb a < logc a < loga b < loga c

Show answer

Correct answer: A

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