Question

The value of $(\frac{1}{lo{g}_{3}60}+\frac{1}{lo{g}_{4}60}+\frac{1}{lo{g}_{5}60})$ is

• A. 0
• B. 1
• C. 5
• D. 60

Answer 1

The correct option is B 1

Give expression $=lo{g}_{60}3+lo{g}_{60}4+lo{g}_{60}5$
$=lo{g}_{60}(3\times 4\times 5)$
$=lo{g}_{60}60$
$=1$