What is expand ln((5x)/(x-5)) ?

The solution to expand ln((5x)/(x-5)) is ln(5)+ln(x)-ln(x-5)

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expand ln((5x)/(x-5))

expand

ln (\frac{5 x}{x - 5})

ln (5) + ln (x) - ln (x - 5)

Solution steps

ln (\frac{5 x}{x - 5})

Apply log rule:

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

ln (\frac{5 x}{x - 5}) = ln (5 x) - ln (x - 5)

= ln (5 x) - ln (x - 5)

Apply log rule:

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

ln (5 x) = ln (5) + ln (x)

= ln (5) + ln (x) - ln (x - 5)

7 lo g_{b} (x) - \frac{1}{4} lo g_{b} (y) + 5 lo g_{b} (z)

ln (\frac{1}{a ^{2}} x^{n} e^{\frac{b}{a}})

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

ln (\frac{x}{12})

ln (70) - ln (40)

What is expand ln((5x)/(x-5)) ?
The solution to expand ln((5x)/(x-5)) is ln(5)+ln(x)-ln(x-5)