What is expand (ln(xy^2))/((z)) ?

The solution to expand (ln(xy^2))/((z)) is (ln(x))/z+(2ln(y))/z

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expand (ln(xy^2))/((z))

expand

\frac{ln ( x y ^{2} )}{( z )}

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

Solution steps

\frac{ln ( x y ^{2} )}{z}

Simplify

ln (x y^{2}) : ln (x) + 2 ln (y)

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

Apply the fraction rule:

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

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

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

f (x) (f (x) = 5 x + 6)

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

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

\frac{( 5 x - 1 )}{( x + 1 ) ( x - 2 )}

\frac{d}{d x} ((z (x, y)) (x^{2} + y^{5}))

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