Solve : log₅ (x + 1) - 1 = 1 + log₅ (x - 1).

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ log₅ (x + 1) - 1 = 1 + log₅ (x - 1) ⇒ log₅ (x + 1) - log₅ (x - 1) = 1 + 1 ⇒ log₅ = 2 ⇒ ⇒ x + 1 = 25(x - 1) ⇒ x + 1 = 25x - 25 ⇒ 25x - x = 1 + 25 ⇒ 24x = 26 ⇒ x = . Hence, x = .

Mathematics

Solve :
log₅ (x + 1) - 1 = 1 + log₅ (x - 1).

Logarithms

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Solve :
log₅ (x + 1) - 1 = 1 + log₅ (x - 1).