different base logarithms: log2 6 (log6 4)

[Red]

log2 6 (log6 4) I know to use the properties and change of base formula but i'm not sure the correct steps.

 

[skeeter]

Re: different base logarithms

log2 6 (log6 4) I know to use the properties and change of base formula but i'm not sure the correct steps.

I assume you are trying to multiply the two logs ?

\(\displaystyle \L (\log_2{6}) (\log_6{4}) =\)

\(\displaystyle \L (\log_2{6}) \frac{\log_2{4}}{\log_2{6}} =\)

\(\displaystyle \L \log_2{4} = 2\)

 

[Red]

thank you for your help