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Mathematics 11 Online
OpenStudy (anonymous):

(log base(a) b) x (log base (b) a)

OpenStudy (anonymous):

1

OpenStudy (raden):

it can be log base(a) a = 1

OpenStudy (anonymous):

\[\log_{a}{b}*\log_{b}{a} = \frac{\log a \log b}{\log a \log b} = 1\]

OpenStudy (anonymous):

thanks it makes sense

OpenStudy (anonymous):

Yup, it's the base change formula if I'm not mistaken. log base(a) b = log a / log b.

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