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

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello! Solve the logarithmic equation for x. log5 (x - 1) + log5 (x + 1) = 2 thanks for your help!      Log On


   

Question 199059: Hello!
Solve the logarithmic equation for x.
log5 (x - 1) + log5 (x + 1) = 2
thanks for your help!
Answer by nerdybill(7384) About Me  (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 = sqrt%2826%29
x = 5.1