How to solve 12^r=13 in solving exponential equation with logarithms

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23-06-2014
Mathematics

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How to solve 12^r=13 in solving exponential equation with logarithms

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AL2006 AL2006 · Answer 1 · 2014-06-23T07:04:14+02:00

AL2006 AL2006

23-06-2014

12^r = 13

Take the logarithm of each side of the equation:

r log(12) = log(13)

Divide each side by log(12) :

r = log(13) / log(12) = 1.03221,,, (rounded)

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konrad509 konrad509 · Answer 2 · 2014-06-23T13:44:41+02:00

konrad509 konrad509

23-06-2014

[tex]12^r=13\\ r=\log_{12}13[/tex]

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