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1. The value of $\frac{1}{\log_{3} 60} +$ $\frac{1}{\log_{4} 60} +$ $\frac{1}{\log_{5} 60}$ is :

A. 0

B. 1

C. 5

D. 60

Solution:

Given expression

\begin{aligned} = \log_{60} 3 + \log_{60} 4 + \log_{60} 5 \\ = \log_{60} (3 \times 4 \times 5) \\ = \log_{60} 60 \\ = 1 \end{aligned}

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