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What are easy steps to find: log(base 6)36x^2 ?

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jacquiie | Student, Grade 10 | eNotes Newbie

Posted February 29, 2012 at 3:26 AM via web

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What are easy steps to find: log(base 6)36x^2 ?

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nathanshields | High School Teacher | (Level 1) Associate Educator

Posted February 29, 2012 at 8:36 AM (Answer #1)

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`log_6(36x^2)`

`log_6 36 + log_6 x^2`

`2+2log_6 x`

`2(1+log_6 x)`

This comes easily from knowing the log rules.  So to make problems like this "easy" you need to have a good understanding of log rules.  I'd start with this intro video and just work through the series:

http://www.khanacademy.org/math/algebra/logarithms/v/introduction-to-logarithms

 

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jacquiie | Student , Grade 10 | eNotes Newbie

Posted February 29, 2012 at 11:40 PM (Answer #2)

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Thanks, I absolutely get it now. I guess i was confused to find it or expand it, but i see the difference now.

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