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Mathematics 12 Online
OpenStudy (anonymous):

log3(256)/log3(2)=?

OpenStudy (anonymous):

show steps

OpenStudy (anonymous):

this is the change of base formula

OpenStudy (anonymous):

\[\frac{ \log _{3} (256) }{ \log _{3} (2)} \]

OpenStudy (anonymous):

it is the same as \[\log_2(256)\]which you solve via \[2^x=256\]

OpenStudy (anonymous):

how did you get log2(256)? @satellite73

OpenStudy (anonymous):

\[\frac{ \int\limits_{1}^{256}\frac{ 1 }{ t } dt }{ \int\limits_{1}^{2}\frac{ 1 }{ t } dt}\]

OpenStudy (anonymous):

\[\frac{ \frac{ \log (256) }{ \log (3) \log (2) } }{ \log (3) }\]

OpenStudy (anonymous):

so what do you think is the result, @lol09lune

OpenStudy (anonymous):

\[8\]

OpenStudy (anonymous):

hope this all helped

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