anonymous
  • anonymous
5^(X+2)=7^(X-3)
Mathematics
chestercat
  • chestercat
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bahrom7893
  • bahrom7893
okay so take Natural log of both sides: Ln[5^(X+2)] = Ln[7^(X-3)]
bahrom7893
  • bahrom7893
Now remember this rule: LnA^b = b*LnA, so apply it here: (x+2)*Ln5 = (x-3)*Ln7
bahrom7893
  • bahrom7893
Multiply them out: xLn5 + 2Ln5 = xLn7 - 3Ln7

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bahrom7893
  • bahrom7893
move terms with x to one side and the ones without to the other side: xLn5-xLn7 = -3Ln7-2Ln5 Take x out from the left: x(Ln5-Ln7) = -3Ln7 - 2Ln5
bahrom7893
  • bahrom7893
x = (-3Ln7 - 2Ln5)/(Ln5-Ln7)
anonymous
  • anonymous
thanks so much
bahrom7893
  • bahrom7893
Please click on become a fan if I helped! I want to get to 100, thanks you! =)
anonymous
  • anonymous
where do you go to become a fan?

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