The value of `log_(40)5` lies between ______.

Options

A. `(1)/(3) and (1)/(2)`
B. `(1)/(4) and (1)/(3)`
C. `(1)/(2) and `
D. 2 and 3

Answer

A

Explanation

Consider `5^(2) lt 40 lt 5^(3)` take logarithm with base 5.