anonymous
  • anonymous
2401^(2n)=343^(n+2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
You have to use logarithms. In this case the answer is 6/5
TuringTest
  • TuringTest
how do you figure?
anonymous
  • anonymous
probably helps to know that \(2401=7^4\) and that \(343=7^3\)

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anonymous
  • anonymous
so you have \[7^{4\times 2n}=7^{3\times (n+2)}\] and therefore \[8n=3n+6\]
anonymous
  • anonymous
solve for n and get \[5n=6\] \[n=\frac{6}{5}\]
anonymous
  • anonymous
no logarithms were harmed in this solution

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