Question

If x = log₂ 3 and y = log₂ 5, then log₂ 15 in terms of x and y is 

A) x – y 

B) x + y 

C) xy 

D) x + y – 1

Answer 1

Correct option is (B) x + y

\(x=log_2\,3\) and \(y=log_2\,5\)

\(log_2\,15=log_2\,(3\times5)\)

\(=log_2\,3+log_2\,5\) = x+y  \((\because\) log AB = log A + log B)

Answer 2

Correct option is B) x + y