SOLUTION: Solve for x: ln (2x-1) = ln 5 - ln (x-5)

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Question 968980: Solve for x:
ln (2x-1) = ln 5 - ln (x-5)
Found 2 solutions by josgarithmetic, amarjeeth123:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
ln%282x-1%29%2Bln%28x-5%29=ln%285%29

ln%28%282x-1%29%28x-5%29%29=ln%285%29

The inputs for both log functions are the same.

%282x-1%29%28x-5%29=5

Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
ln (2x-1) = ln 5 - ln (x-5)
ln(2x-1)+ln(x-5)=ln5
ln[(2x-1)(x-5)]=ln5(Since loga+logb=log(ab))
(2x-1)(x-5)=5
2x^2-11x+5=5
2x^2-11x=0
(2x-11)x=0
x=11/2 (Since x cannot be zero)