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) About Me  (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)