SOLUTION: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln (x - 8)

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Question 670526: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
ln (x - 8) - ln (x + 7) = ln (x - 10) - ln (x + 8)
a. {-134/3}
b. {-2}
c.{-2}
d. {-6/19}

Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
ln (x - 8) - ln (x + 7) = ln (x - 10) - ln (x + 8)
.
ln (x - 8) - ln (x + 7) = ln (x - 10) - ln (x + 8)
ln (x - 8)/(x + 7) = ln (x - 10)/(x + 8)
(x - 8)/(x + 7) = (x - 10)/(x + 8)
(x - 8)(x + 8) = (x - 10)(x + 7)
x^2 - 64 = x^2 -3x - 70
-64 = -3x - 70
6 = -3x
-2 = x
answer: -2

SOLUTION: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln (x - 8) - ln (x + 7) =