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Popular >

expand ln(sqrt(x^3y))

Solution

expand

ln (x^{3} y)

Solution

ln (x) + \frac{1}{2} ln (x y)

Solution steps

ln (x^{3} y)

x^{3} y = x x y

= ln (x x y)

Apply log rule:

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

ln (x x y) = ln (x) + ln (x y)

= ln (x) + ln (x y)

Simplify

ln (x y) : \frac{1}{2} ln (x y)

= ln (x) + \frac{1}{2} ln (x y)

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Frequently Asked Questions (FAQ)

What is expand ln(sqrt(x^3y)) ?
The solution to expand ln(sqrt(x^3y)) is ln(x)+1/2 ln(xy)