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Mathematics 8 Online
OpenStudy (studygurl14):

help @hartnn

OpenStudy (studygurl14):

\(\Large\log_{9}{\frac{1}{27}}\) I know how i would solve this using the change of base formula, but I know there's another way i can't remember. what is it?

hartnn (hartnn):

write 27 as the exponent of 3 ...but late you'll need change of base formula...

hartnn (hartnn):

*later

OpenStudy (studygurl14):

I'm...confused. There's no 3 in the equation

hartnn (hartnn):

27 = 3^3 9 = 3^2

OpenStudy (studygurl14):

\(\Large 9^x=\frac{1}{27}\rightarrow (3^2)^x=\frac{1}{3^3}\) ???

hartnn (hartnn):

yes recall \(\Large \dfrac{1}{a^b} = a^{-b}\)

OpenStudy (studygurl14):

okay, thanks. i got it now

OpenStudy (studygurl14):

-3/2

hartnn (hartnn):

yes :)

OpenStudy (studygurl14):

:)

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