Solve for x : log (x - 2) + log (x + 2) = log 5

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ log (x - 2) + log (x + 2) = log 5 ⇒ log (x - 2)(x + 2) = log 5 ⇒ log (x² + 2x - 2x - 4) = log 5 ⇒ log (x² - 4) = log 5 ⇒ x² - 4 = 5 ⇒ x² = 5 + 4 ⇒ x² = 9 ⇒ x = . Since, x cannot be negative as that will make (x - 2) and (x + 2) negative. Hence, x = 3.

Mathematics

Solve for x :
log (x - 2) + log (x + 2) = log 5

Logarithms

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Mathematics

Solve for x :log (x - 2) + log (x + 2) = log 5

Logarithms

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