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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
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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