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Mathematics 23 Online
OpenStudy (anonymous):

log3^(1/3)

OpenStudy (dumbcow):

= (1/3)log3

OpenStudy (anonymous):

approx 0.159

OpenStudy (anonymous):

hold on

OpenStudy (anonymous):

i am willing to bet that this is \[\log_3(\frac{1}{3})\] so the answer is \[-1\]

jimthompson5910 (jim_thompson5910):

\[\large \log_{3}(\frac{1}{3})\] \[\large \log_{3}(3^{-1})\] \[\large -1\log_{3}(3)\] \[\large -1(1)\] \[\large -1\] So \[\large \log_{3}(\frac{1}{3})=-1\]

OpenStudy (anonymous):

because \[3^{-1}=\frac{1}{3}\]

OpenStudy (anonymous):

approx 0.159

OpenStudy (anonymous):

giraffe11?

OpenStudy (dumbcow):

both answers could be right depending on what base the log is :)

OpenStudy (anonymous):

my answer comes with a money back guarantee

OpenStudy (anonymous):

@giraffe the idea is that \[\log_b(x)=y\iff b^y=x\] so if you see \[\log_3(\frac{1}{3})=y\] you try to fill in the spot \[3^x=\frac{1}{3}\]

OpenStudy (anonymous):

should have written \[3^y=\frac{1}{3}\] to be less confusing. if that exponent is clear, then you are in good shape. if you are shaky with exponential notation it is easy enough to cheat with a calculator

OpenStudy (anonymous):

thanks

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