What is join pi/8 log_{10}(2) ?

The solution to join pi/8 log_{10}(2) is log_{10}(2^{pi/8})

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join pi/8 log_{10}(2)

join

\frac{π}{8} lo g_{10} (2)

lo g_{10} (2^{\frac{π}{8}})

Decimal Notation

0.11821 \dots

Solution steps

\frac{π}{8} lo g_{10} (2)

Apply log rule:

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

\frac{π}{8} lo g_{10} (2) = lo g_{10} (2^{\frac{π}{8}})

= lo g_{10} (2^{\frac{π}{8}})

- lo g_{10} (5.2 \cdot 1 0^{- 5})

ln (6) + ln (x) - ln (y)

ln (\frac{2}{x 1 - x})

ln (6) + 2 ln (x y)

ln (7) + ln (x) - ln (y)

What is join pi/8 log_{10}(2) ?
The solution to join pi/8 log_{10}(2) is log_{10}(2^{pi/8})