anonymous
  • anonymous
Evaluate Logarithmic. Show work. log0.0001
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
hint": \(0.0001=10^{-4}\)
anonymous
  • anonymous
log-10,000?
anonymous
  • anonymous
no, try this \[\log_{10}(x)=y\iff 10^y=x\]

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anonymous
  • anonymous
on other words, \(\log(0.001)\) is the number \(y\) so that \(10^y=0.0001\)
anonymous
  • anonymous
ok so whats next cause i did 10 by -4 lol
anonymous
  • anonymous
it is not multiplication, it is the exponent if you want to know what \(\log(0.0001)\) is, you have to be able to solve \(10^y=0.0001\)
anonymous
  • anonymous
since \(10^{-4}=0.0001\) you know \[\log(0.0001)=-4\]
anonymous
  • anonymous
lol so its -4?
anonymous
  • anonymous
yes, that is what it is
anonymous
  • anonymous
thank you!

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