Solve without using tables log

_{5}(62.5) – log_{5}((frac{1}{2}))-
**A.**

3 -
**B.**

4 -
**C.**

5 -
**D.**

8

##### Correct Answer: Option A

##### Explanation

log_{5}(62.5) – log_{5}((frac{1}{2}))

= log_{5}(frac{(62.5)}{frac{1}{2}}) – log_{5}(2 x 62.5)

= log_{5}(125)

= log_{5}5^{3} – 3log_{5}5

= 3