anonymous
  • anonymous
log8 32 = ??
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
is it \[\log_{8} 32 \]
anonymous
  • anonymous
is that the question bratgirl?
anonymous
  • anonymous
yes

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anonymous
  • anonymous
are u good with logarithmic math??
anonymous
  • anonymous
to get the answer, u use property: \[\log_{a} b = \log_{c}b /\log_{c}a \] you let c=10 (use base 10. also called common logarithm)
anonymous
  • anonymous
it that the easiest wat to do it?
anonymous
  • anonymous
yes. let me put it this way: \[\log_{8}32=n \implies 8^{n}=32 \] u understand what im doing so far?
anonymous
  • anonymous
yes and what is next?
anonymous
  • anonymous
\[8^{n}=32 \implies \ln 8^{n} = \ln32 \implies n \ln8= \ln32\]
anonymous
  • anonymous
therefore: \[n= \ln 32 / \ln 8\]
anonymous
  • anonymous
\[n= \ln 2^{5}/ \ln 2^{3} = 5\ln 2/3\ln2= 5/3.\]
anonymous
  • anonymous
this is the other way to solve it but a bit longer. better use the property i gave u earlier.
anonymous
  • anonymous
thank you
anonymous
  • anonymous
hope it helps u understanding logarithm

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