anonymous
  • anonymous
solve without a calculator: log(x-4)=log(5x+3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
since they're logs of the same base, the arguements must be the same: (x - 4) = (5x + 3) now solve this linear equation. and be sure to check your answers
anonymous
  • anonymous
make each side e^(log(x-4)) = e^(5x-3)) which makes it cancel to (x-4)=(5x-3)
anonymous
  • anonymous
because even if the algebra is correct, there may be an extraneous solution.

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anonymous
  • anonymous
solving for x, x = ???
anonymous
  • anonymous
so the answer would be -7/4?
anonymous
  • anonymous
try again..
anonymous
  • anonymous
x = -1/4 ?
anonymous
  • anonymous
how did you get that?
anonymous
  • anonymous
|dw:1332810951760:dw|
anonymous
  • anonymous
its 5x+3
anonymous
  • anonymous
so now you MUST check this... is it a solution to the original problem?
anonymous
  • anonymous
(x-4)=(5x-3) (x-5x)=(-3+4) -4x=1 x= -1/4
anonymous
  • anonymous
not 5x-3
anonymous
  • anonymous
|dw:1332811203615:dw| your right, 5x+3
anonymous
  • anonymous
so you were right the first time... sorry. but now, check this with the original problem

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