Solve without using tables log5(62.5) – log5((frac{1}{2}))

Solve without using tables log₅(62.5) – log₅((frac{1}{2}))

Correct Answer: Option A

Explanation

log₅(62.5) – log₅((frac{1}{2}))
= log₅(frac{(62.5)}{frac{1}{2}}) – log₅(2 x 62.5)
= log₅(125)
= log₅5³ – 3log₅5
= 3