<PRE><B>Question 670526</B>
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</PRE>