What is join log_{10}(2)\sqrt[8]{32} ?

The solution to join log_{10}(2)\sqrt[8]{32} is log_{10}(2^{\sqrt[8]{32}})

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join log_{10}(2)\sqrt[8]{32}

join

Decimal Notation

0.46425 \dots

Solution steps

Apply log rule:

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

- lo g_{10} (\frac{1 0 ^{- 14}}{2 \cdot 1 0 ^{- 9}})

ln (\frac{4.67 \cdot 1 0 ^{22}}{5 \cdot 1 0 ^{22}})

\frac{1}{6} ln ∣ sin (6 x) ∣ - \frac{1}{6} ln ∣ cos (6 x) ∣

ln (\frac{x ^{2} x - 1}{3 x - 9})

What is join log_{10}(2)\sqrt[8]{32} ?
The solution to join log_{10}(2)\sqrt[8]{32} is log_{10}(2^{\sqrt[8]{32}})