Discussion of Question with ID = 005 under Logarithms

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Question

What is $1/{\text"log"_3(60)}$ + $1/{\text"log"_4(60)}$ + $1/{\text"log"_5(60)}$?

A

$1$.

B

5.

C

12.

D

0.

Soln.
Ans: a

The given expression simplifies to $\text"log"_60(3)$ + $\text"log"_60(4)$ + $\text"log"_60(5)$ = $\text"log"_60(3 × 4 × 5)$ = $\text"log"_60(60)$ = 1.

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