What is log_{10}(\sqrt[3]{2}*sqrt(3)) ?

The solution to log_{10}(\sqrt[3]{2}*sqrt(3)) is log_{10}(\sqrt[3]{2})+log_{10}(sqrt(3))

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simplify log_{10}(\sqrt[3]{2}*sqrt(3))

simplify

Decimal Notation

0.33890 \dots

Solution steps

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{4} (\frac{16}{x + 3})

\frac{2}{5} lo g_{10} (x) - lo g_{10} (y)

1 + ln (2 x)

ln (\frac{e ^{iπ}}{4 + 3 e ^{iπ}})

lo g_{8} (8 x)

What is log_{10}(\sqrt[3]{2}*sqrt(3)) ?
The solution to log_{10}(\sqrt[3]{2}*sqrt(3)) is log_{10}(\sqrt[3]{2})+log_{10}(sqrt(3))