SOLUTION: Solve the equation & check your answer(s): ln(2-2x)=ln(x+5)+ln(x+4)

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Question 454385: Solve the equation & check your answer(s):
ln(2-2x)=ln(x+5)+ln(x+4)

Found 2 solutions by nerdybill, solver91311:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
ln(2-2x)=ln(x+5)+ln(x+4)
ln(2-2x)=ln(x+5)(x+4)
(2-2x)=(x+5)(x+4)
2-2x= x^2 +9x + 20
2 = x^2 + 11x + 20
0 = x^2 + 11x + 18
0 = (x+9)(x+2)
x = {-9,-2}
Testing each of the solution above, we see that -9 is an "extraneous solution" and must be thrown out leaving:
x = -2


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




The sum of the logs is the log of the product:



Then



Hence



So



Just solve for . Exclude any root that would make the argument of any of the original logarithm functions less than or equal to zero.

John

My calculator said it, I believe it, that settles it
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