What is expand ln(\sqrt[6]{x(2+5)/(x^3+6)}) ?

The solution to expand ln(\sqrt[6]{x(2+5)/(x^3+6)}) is 1/6 ln((7x)/(x^3+6))

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expand ln(\sqrt[6]{x(2+5)/(x^3+6)})

expand

\frac{1}{6} ln (\frac{7 x}{x ^{3} + 6})

Solution steps

Rewrite as

= ln ((\frac{7 x}{x ^{3} + 6})^{\frac{1}{6}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{6} ln (\frac{7 x}{x ^{3} + 6})

8 (\frac{2 n ^{3} + 3 n ^{2} + n}{6 n ^{3}}) - 4

2 (x + 3 = 12)

\frac{s x + k}{( x - p ) ^{2}}

\frac{( x + h ) - 5}{( x + h ) ^{2} - 5 ( x + h ) + 6}

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

What is expand ln(\sqrt[6]{x(2+5)/(x^3+6)}) ?
The solution to expand ln(\sqrt[6]{x(2+5)/(x^3+6)}) is 1/6 ln((7x)/(x^3+6))