SOLUTION: Hello! Solve the logarithmic equation for x. log5 (x - 1) + log5 (x + 1) = 2 thanks for your help!

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Question 199059: Hello!
Solve the logarithmic equation for x.
log5 (x - 1) + log5 (x + 1) = 2
thanks for your help!

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Applying log rules:
log5 (x - 1) + log5 (x + 1) = 2
log5 (x - 1)(x + 1) = 2
(x - 1)(x + 1) = 5^2
x^2 + x - x - 1 = 25
x^2 - 1 = 25
x^2 = 26
x =
x = 5.1

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