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

The solution to expand ln(\sqrt[4]{x^3(x^2+3)}) is 1/4 ln(x^5+3x^3)

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expand ln(\sqrt[4]{x^3(x^2+3)})

expand

\frac{1}{4} ln (x^{5} + 3 x^{3})

Solution steps

Rewrite as

= ln ((x^{5} + 3 x^{3})^{\frac{1}{4}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{4} ln (x^{5} + 3 x^{3})

(a - ib) (a + ib)^{2}

\frac{18 y + 12}{( y - 6 ) ( y + 6 )}

\frac{( y - 1 ) ^{4}}{y ^{\frac{1}{2}} ( y ^{2} + 1 ) ^{3}}

\frac{1}{( X ^{2} + 8 ) ^{3}}

(1 + tan (θ)) tan (2 θ)

What is expand ln(\sqrt[4]{x^3(x^2+3)}) ?
The solution to expand ln(\sqrt[4]{x^3(x^2+3)}) is 1/4 ln(x^5+3x^3)