Question

The value of ${\log }_{35}3$ lies between

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

Answer 1

Answer: (A)

Consider the inequality and $3^3<35<3^4$ taking logarithm with base 3 .