anonymous
  • anonymous
3. Convert to a common log: log3 4
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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Owlcoffee
  • Owlcoffee
Change of base of logarithms: \[\log_{a} b \iff \frac{ \log_{c} b }{ \log_{c}a }\]
anonymous
  • anonymous
wait what would be A and B?

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anonymous
  • anonymous
common log means log base ten
anonymous
  • anonymous
how do i do that?
anonymous
  • anonymous
NNNOOOO mistake hold on
anonymous
  • anonymous
\[\huge \log_a(x)=\frac{\log_b(x)}{\log_b(a)}\] but you have \(\log_3(4)\) put \[a=3,x=4,b=10\]
anonymous
  • anonymous
where do you get 10 from? log3(4) = log10(4)/ log10(3)
anonymous
  • anonymous
that is correct, what you wrote the ten comes from the meaning of "common log" which by definition is log base ten
anonymous
  • anonymous
thats it no more steps?
anonymous
  • anonymous
as opposed to the "natural log" which is log base \(e\) no, no more steps if the question is "convert"
anonymous
  • anonymous
if the question was "compute" then you would use a calculator
anonymous
  • anonymous
oh okay sweet thanks for the help!
anonymous
  • anonymous
yw

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