anonymous
  • anonymous
16^(3X)=8^(X+1)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Take the natural log of both sides. Then,\[\ln(16^{3x})=\ln(8^{x+1})\]So that\[3x{\ln(16)}=(x+1)\ln{(8)}\]But 16=2^4 and 8=2^3,so\[3.4\ln(2)x=3\ln(2)x+3\ln(2)\]Collecting like-terms leads to\[9\ln(2)x=3\ln(2) \rightarrow x=\frac{3\ln(2)}{9\ln(2)}=\frac{1}{3}\]
anonymous
  • anonymous
Note, you could take any log you like - it won't matter in the end. I just chose 'ln' since people feel more comfortable with it.
anonymous
  • anonymous
K THANKS

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NickiMinaj
  • NickiMinaj
ms lady thx 4 ur help its getting late goodnight
anonymous
  • anonymous
BYE
NickiMinaj
  • NickiMinaj
goodnight thx 4 ur help

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