algebra2sucks
Evaluate Logarithmic. Show work.
log0.0001



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anonymous
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hint": \(0.0001=10^{4}\)

algebra2sucks
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log10,000?

anonymous
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no, try this
\[\log_{10}(x)=y\iff 10^y=x\]

anonymous
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on other words, \(\log(0.001)\) is the number \(y\) so that \(10^y=0.0001\)

algebra2sucks
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ok so whats next cause i did 10 by 4 lol

anonymous
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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
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since \(10^{4}=0.0001\) you know
\[\log(0.0001)=4\]

algebra2sucks
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lol so its 4?

anonymous
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yes, that is what it is

algebra2sucks
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thank you!