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Mathematics 18 Online
OpenStudy (anonymous):

log1/3 (9)

OpenStudy (aravindg):

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zepdrix (zepdrix):

I little bit confused by your problem JK, is it like this? \[\large \log_{1/3}(9)\] With a base of 1/3?

OpenStudy (anonymous):

yes...could the answer be y=-2

zepdrix (zepdrix):

\[\large \log_{1/3}(9) \qquad = \qquad \log_{1/3}(3^2) \qquad = \qquad \log_{1/3}\left(\frac{1}{3}\right)^{-2}\] -2? Yes very good! :)

OpenStudy (anonymous):

what about [\log_{10} 1/1000\] would it be -3

OpenStudy (anonymous):

log 1/1000 understood 10

zepdrix (zepdrix):

\[\large \color{royalblue}{\log \frac{1}{1000}} \qquad = \qquad \color{royalblue}{\log 10^{-3}} \qquad = \qquad -3\color{royalblue}{\log 10} \qquad = \qquad -3\cdot \color{royalblue}{1}\] Yes, good job.

OpenStudy (anonymous):

and \[\log_{2} \sqrt{1/2}\] would be -4??

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