What is log_{10}(\sqrt[4]{x/y}) ?

The solution to log_{10}(\sqrt[4]{x/y}) is 1/4 log_{10}(x/y)

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simplify log_{10}(\sqrt[4]{x/y})

simplify

\frac{1}{4} lo g_{10} (\frac{x}{y})

Solution steps

Rewrite as

= lo g_{10} ((\frac{x}{y})^{\frac{1}{4}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{4} lo g_{10} (\frac{x}{y})

2 (n + 1) + 1

\frac{27}{- 3}

\frac{2}{3} + \frac{4}{9} - \frac{3}{5}

\frac{2}{5} \cdot \frac{3}{7}

\frac{27}{12}

What is log_{10}(\sqrt[4]{x/y}) ?
The solution to log_{10}(\sqrt[4]{x/y}) is 1/4 log_{10}(x/y)