Prove that : log₁₀ 125 = 3(1 - log₁₀ 2)

Question

KnowledgeBoat · Accepted Answer

To prove: log₁₀ 125 = 3(1 - log₁₀ 2) Solving R.H.S. of the equation, we get : ⇒ 3(1 - log₁₀ 2) ⇒ 3(log₁₀ 10 - log₁₀ 2) ⇒ 3(log₁₀ ) ⇒ 3 log₁₀ 5 ⇒ log₁₀ 5³ ⇒ log₁₀ 125 Since, L.H.S. = R.H.S. Hence, proved that log₁₀ 125 = 3(1 - log₁₀ 2).

Mathematics

Prove that :
log₁₀ 125 = 3(1 - log₁₀ 2)

Logarithms

Related Questions

If log (a + 1) = log (4a - 3) - log 3; find a.

If 2 log y - log x - 3 = 0, express x in terms of y.