What is expand ln(\sqrt[4]{x^3y^5}) ?

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

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expand ln(\sqrt[4]{x^3y^5})

expand

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

Solution steps

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

Simplify

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

Simplify

ln (x^{3} y) : 3 ln (x) + ln (y)

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

ln (y) + 3 ln (x) = ln (y x^{3})

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

Simplify

ln (x^{3} y) : 3 ln (x) + ln (y)

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

ln (y) + 3 ln (x) = ln (y x^{3})

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

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a (4, - \frac{π}{12})

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

(- \frac{1}{20} (x - 50))^{2}

\frac{d ^{2}}{d x ^{2}} ((y) (cos (x) - ln (x)))

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