A (13/12)log_ex

B log_ex

C (1/2)log_ex

D log_e√x

Correct Answer: Option A

log_ex^1/2 + log_ex^1/3 +log_ex^1/4
= (1/2)log_ex + (1/3)log_ex + (1/4)log_ex
={(1/2) + (1/3) + (1/4)}log_ex
= ((6 + 4 + 3)/12}log_ex
= (13/12)log_ex