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Question
Solve for x : log (x - 2) + log (x + 2) = log 5
Solution
log ( x - 2 ) + log ( x + 2 ) = log 5
⇒ log ( x - 2 ) ( x + 2) = log 5 ...[ loga m + loga n = loga mn ]
⇒ log ( x2 - 4 ) = log 5
⇒ x2 - 4 = 5
⇒ x 2 = 9
⇒ x = `+-sqrt9`
⇒ x = `+-sqrt(3^2)`
⇒ x = `+-`3
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