anonymous
  • anonymous
evaluate the expression log3(1/27)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\log_{3}(\frac{ 1 }{ 27 }) \]
anonymous
  • anonymous
help please!
kropot72
  • kropot72
\[\large \log_{3} \frac{1}{27}=x\] Then by the rules of logs: \[\large 3^{x}=\frac{1}{27}=\frac{1}{3^{3}}=3^{-3}\] Can you now see the value of x.

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kropot72
  • kropot72
\[\large 3^{x}=3^{-3}\] So what must the value of x be?
kropot72
  • kropot72
For example \[\large 10^{x}=10^{7}\] therefore x = 7.
kropot72
  • kropot72
So if \[\large 3^{x}=3^{-3}\] what will be the value of x?
kropot72
  • kropot72
@radicalgal Are you there?
anonymous
  • anonymous
yes sorry.. so then the -3 is the answer
kropot72
  • kropot72
Correct.
anonymous
  • anonymous
thank you!
kropot72
  • kropot72
You're welcome :)

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