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)   (Show Source): You can put this solution on YOUR website!




The inputs for both log functions are the same.


Answer by amarjeeth123(570)   (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)

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