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Mathematics

Solve the following equation:

log(x + 1) + log(x - 1) = log 24

Logarithms

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Answer

Given,

⇒ log(x + 1) + log(x - 1) = log 24

⇒ log((x + 1)(x - 1)) = log 24

⇒ log(x2 - 1) = log 24

⇒ x2 - 1 = 24

⇒ x2 = 25

⇒ x = 5.

Hence, x = 5.

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