SOLUTION: Find the exact solution using common logarithms. log(x^2 + 4) − log(x + 2) = 2 + log(x − 2)

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Question 670687: Find the exact solution using common logarithms.

log(x^2 + 4) − log(x + 2) = 2 + log(x − 2)

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
log(x^2 + 4) - log(x + 2) = 2 + log(x - 2)
log (x^2 + 4)/(x+2)(x-2) = 2
100 = (x^2 + 4)/(x+2)(x-2)
100(x^2-4) = x^2 + 4
99x^2 = 404
x^2 = 404/99
x = 2.02 (minus soluton extraneous)

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