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

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Mathematics

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

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AL2006id AL2006id · Answer 1

AL2006id AL2006id

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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Konrad509id Konrad509id · Answer 2

Konrad509id Konrad509id

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

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