Question
The value of $${\frac{1}{{{{\log }_3}60}} + }$$ $${\frac{1}{{{{\log }_4}60}} + }$$ $${\frac{1}{{{{\log }_5}60}}}$$ is :
Answer: Option B
Given expression
$$\eqalign{
& = {\log _{60}}3 + {\log _{60}}4 + {\log _{60}}5 \cr
& = {\log _{60}}\left( {3 \times 4 \times 5} \right) \cr
& = {\log _{60}}60 \cr
& = 1 \cr} $$
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Given expression
$$\eqalign{
& = {\log _{60}}3 + {\log _{60}}4 + {\log _{60}}5 \cr
& = {\log _{60}}\left( {3 \times 4 \times 5} \right) \cr
& = {\log _{60}}60 \cr
& = 1 \cr} $$
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