What is expand log_{10}(\sqrt[4]{a/b}) ?

The solution to expand log_{10}(\sqrt[4]{a/b}) is 1/4 log_{10}(a/b)

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expand log_{10}(\sqrt[4]{a/b})

expand

\frac{1}{4} lo g_{10} (\frac{a}{b})

Solution steps

Rewrite as

= lo g_{10} ((\frac{a}{b})^{\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{a}{b})

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What is expand log_{10}(\sqrt[4]{a/b}) ?
The solution to expand log_{10}(\sqrt[4]{a/b}) is 1/4 log_{10}(a/b)