Which of the following is equivalent to 1/log_{3}(m) ?

The chioces are

A. logm(3)

B. log3(m)

C. -logm(3)

D. -log3(m)

What are the choices?

1/log3(m)=2.09590327 meters

I think that is supposed to be 1/log_{3 }(m)

I'm just playing. Like EP said, what are the choices?

If

\(y=(log_3(m))^{-1}\\ then\\ \frac{1}{y}=log_3(m)\\ 3^{\frac{1}{y}}=m\\ m^y=3\\ \)

A. log_{m}(3)

B. log_{3}(m)

C. -log_{m}(3)

D. -log_{3}(m)

1/ log_{3 }m .....we can use the change of base theorem to write

1/ [ log m / log 3 ] =

log 3 / log m =

log_{m} 3