What is expand log_{10}(\sqrt[3]{(x+2)/(x^4(x^2+4))}) ?

The solution to expand log_{10}(\sqrt[3]{(x+2)/(x^4(x^2+4))}) is 1/3 log_{10}((x+2)/(x^6+4x^4))

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expand log_{10}(\sqrt[3]{(x+2)/(x^4(x^2+4))})

expand

\frac{1}{3} lo g_{10} (\frac{x + 2}{x ^{6} + 4 x ^{4}})

Solution steps

Rewrite as

= lo g_{10} ((\frac{x + 2}{x ^{6} + 4 x ^{4}})^{\frac{1}{3}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{3} lo g_{10} (\frac{x + 2}{x ^{6} + 4 x ^{4}})

\frac{4}{( x + 1 ) ^{2}}

(y + Δ y)^{4}

(5 x + 9 x^{2} + 2 x) (5 x + 9 x^{2} - 2 x)

t (1 - t^{2})

\frac{( 5 x - 2 ) ( 7 x + 3 )}{7 x ( 5 x - 1 )}

What is expand log_{10}(\sqrt[3]{(x+2)/(x^4(x^2+4))}) ?
The solution to expand log_{10}(\sqrt[3]{(x+2)/(x^4(x^2+4))}) is 1/3 log_{10}((x+2)/(x^6+4x^4))