SOLUTION: solve the equation ln(x+5)-ln(3)=ln(x-3).

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Question 46653: solve the equation ln(x+5)-ln(3)=ln(x-3).
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28x%2B5%29-ln%283%29=ln%28x-3%29
ln%28%28x%2B5%29%2F3%29=ln%28x-3%29
Since the "ln" function has been applied to both sides, it can be reversed. when working with logarithms, this is called "exponentiating".
%28x%2B5%29%2F3=x-3
x%2B5=3x-9
14=2x
So x=7.
I hope this helps,
Adam.
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