Question

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Answer 1

3 (1 - log₁₀ 2)

⇒ 3 (log₁₀ 10 - log₁₀ 2)

⇒ 3 log₁₀  ` ((10 ) / ( 2 )) ` 

⇒ 3 log₁₀ 5           

⇒ log₁₀ 5³

⇒ log₁₀ 125

Hence proved.