What is join 1/6 log_{12}(17) ?

The solution to join 1/6 log_{12}(17) is log_{12}(17^{1/6})

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join 1/6 log_{12}(17)

join

\frac{1}{6} lo g_{12} (17)

lo g_{12} (1 7^{\frac{1}{6}})

Decimal Notation

0.19002 \dots

Solution steps

\frac{1}{6} lo g_{12} (17)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{6} lo g_{12} (17) = lo g_{12} (1 7^{\frac{1}{6}})

= lo g_{12} (1 7^{\frac{1}{6}})

ln (\frac{1}{1 0 ^{0.879}})

2 ln (4) + ln (6)

ln (x \frac{x}{2})

ln (2) + ln (e^{- \frac{t}{τ}})

\frac{3}{4} (ln (a) + ln (b))

What is join 1/6 log_{12}(17) ?
The solution to join 1/6 log_{12}(17) is log_{12}(17^{1/6})