What is expand ln(\sqrt[11]{x^2}) ?

The solution to expand ln(\sqrt[11]{x^2}) is 2/11 ln(x)

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expand ln(\sqrt[11]{x^2})

expand

\frac{2}{11} ln (x)

Solution steps

Rewrite as

= ln ((x^{2})^{\frac{1}{11}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{11} ln (x^{2})

Apply log rule

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

assuming

x \geq 0

= 2 \cdot \frac{1}{11} ln (x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2}{11} ln (x)

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{11} ln (x)

0.5 arctan ((x + 1)^{2})

\frac{( p + q ) 2 - 4 pq}{p - q}

1 + a (b + e (h + c (d + f g)))

(x + 6) e^{3 x} + 4

2 (x^{2} + y^{2}) e^{- x^{2} - y^{2}}

What is expand ln(\sqrt[11]{x^2}) ?
The solution to expand ln(\sqrt[11]{x^2}) is 2/11 ln(x)