What is log_{2}((\sqrt[4]{a^3b^2c})/2) ?

The solution to log_{2}((\sqrt[4]{a^3b^2c})/2) is log_{2}(\sqrt[4]{a^3b^2c})-1

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simplify log_{2}((\sqrt[4]{a^3b^2c})/2)

simplify

Solution steps

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{2} (2) = 1

\frac{1}{2} lo g_{10} (x) - lo g_{10} (y) + lo g_{10} (9 z)

ln (x^{3} - 1) - ln (x^{2} + x + 1)

lo g_{5} (\frac{w}{2 b})

- (\frac{2}{5} lo g_{2} (\frac{2}{5}) + \frac{3}{5} lo g_{2} (\frac{3}{5}))

ln (\frac{9}{25})

What is log_{2}((\sqrt[4]{a^3b^2c})/2) ?
The solution to log_{2}((\sqrt[4]{a^3b^2c})/2) is log_{2}(\sqrt[4]{a^3b^2c})-1