What is expand ln(((x+3))/(xy)) ?

The solution to expand ln(((x+3))/(xy)) is ln(x+3)-ln(x)-ln(y)

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expand ln(((x+3))/(xy))

expand

ln (\frac{( x + 3 )}{x y})

ln (x + 3) - ln (x) - ln (y)

Solution steps

ln (\frac{( x + 3 )}{x y})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

= ln (x + 3) - ln (x y)

Apply log rule:

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

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

= ln (x + 3) - (ln (x) + ln (y))

- (ln (x) + ln (y)) : - ln (x) - ln (y)

= ln (x + 3) - ln (x) - ln (y)

\frac{1}{4} + ln (\frac{π}{3})

lo g_{8} (11 x)

lo g_{3} (\frac{81 x}{x ^{2} + 9})

lo g_{2} (\frac{z}{4})

ln (60) - ln (90)

What is expand ln(((x+3))/(xy)) ?
The solution to expand ln(((x+3))/(xy)) is ln(x+3)-ln(x)-ln(y)