Question

The value of ${\log }_{40}5$ lies between

• A. $\frac{1}{3}$ and $\frac{1}{2}$
• B. $\frac{1}{4}$ and $\frac{1}{3}$
• C. $\frac{1}{2}$ and 1
• D. 2 and 3

Answer 1

Answer: (A)

Consider $5^2<40<5^3$ take logarithm with base 5 .