SOLUTION: Solve the equation ln(x+5)-ln(3)=ln(x-3). Thank you.

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Question 46076This question is from textbook Algebra and trigonometry with analytic geometry
: Solve the equation ln(x+5)-ln(3)=ln(x-3).
Thank you. This question is from textbook Algebra and trigonometry with analytic geometry

Answer by atif.muhammad(135) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x+5)-ln(3)=ln(x-3).

Use logarithmic law: ln(a) - ln(b) = ln(a/b)


ln %28x%2B5%29%2F3%29 = ln(x-3)

Remove the logarithmic function from both sides.

%28x%2B5%29%2F3 = x-3

x+5 = 3x - 9

14 = 2x

x = 7