Question

if a=log 2\3 and b= log 3\5 and c =log root of 5\2 find the value of a+b+c

Answer 1

Answer:

$a + b + c = log( \frac{2}{3} ) + log( \frac{3}{5} ) + log( \frac{5}{2} ) = log( \frac{2}{3} \times \frac{3}{5} \times \frac{5}{2} ) = log(1) = 0$