anonymous
  • anonymous
2^{4/l \log_{2}x}=1/256
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
2^{4/l \log_{2}x}=1/256
anonymous
  • anonymous
\[2^{4\log_{2}(x)}=\frac{1}{256}\]
anonymous
  • anonymous
yes, how do i solve it?

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anonymous
  • anonymous
please do help
anonymous
  • anonymous
i didn't, i just tried to interpret what you wrote
anonymous
  • anonymous
yes, so can you help me solve it?
anonymous
  • anonymous
we have lots of choices here
anonymous
  • anonymous
okay
anonymous
  • anonymous
so what are they
anonymous
  • anonymous
\[256=2^8\] so \[\frac{1}{256}=2^{-8}\] so you could start with \[2^{4\log_{2}(x)}=2^{-8}\] then \[4\log_2(x)=-8\]then \[\log_2(x)=-2\] and so \[x=2^{-2}=\frac{1}{2^2}=\frac{1}{4}\]
anonymous
  • anonymous
so it's .2500?
anonymous
  • anonymous
or we could say \[2^{4\log_{2}(x)}=\frac{1}{256}\] \[2^{\log_{2}(x^4)}=\frac{1}{256}\] \[x^4=\frac{1}{256}\] \[x=\frac{1}{\sqrt[4]{256}}=\frac{1}{4}\] so
anonymous
  • anonymous
they computer wouldnt accept the answer :(

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