hlemkie803 hlemkie803
  • 19-06-2018
  • Mathematics
contestada

Express 3^2 = x as a logarithmic equation.


log3x = 2

log32 = x

log23 = x

log2x = 3

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sqdancefan
sqdancefan sqdancefan
  • 19-06-2018
Taking the log of both sides of the equation, you have
[tex]2\log(3)=\log(x)[/tex]
Dividing by log(3), this looks like the change of base formula.
[tex]\log_a(b)=\dfrac{\log(b)}{\log(a)}[/tex]

That is, division by log(3) gives
[tex]2=\dfrac{\log(x)}{\log(3)}\\\\2=log_3(x)[/tex]

This apparently matches your first choice:
  log3(x) = 2
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