3log102 + log105 =?

3log₁₀2 + log₁₀5 =?

A log₁₀(5/8)

B log₁₀(8/5)

C log₁₀(2/5)

D log₁₀(40)

Solution

Correct Answer: Option D

3 log₁₀² +log₁₀ ⁵
=log(₁₀² )³ + log₁₀ ⁵
=log₁₀ ⁸+log₁₀ ⁵
=log₁₀ ⁸× ⁵
=log₁₀ ⁴⁰