What is expand ln((3r^2)/(r-8)) ?

The solution to expand ln((3r^2)/(r-8)) is ln(3)+2ln(r)-ln(r-8)

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expand ln((3r^2)/(r-8))

expand

ln (\frac{3 r ^{2}}{r - 8})

ln (3) + 2 ln (r) - ln (r - 8)

Solution steps

ln (\frac{3 r ^{2}}{r - 8})

Apply log rule:

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

ln (\frac{3 r ^{2}}{r - 8}) = ln (3 r^{2}) - ln (r - 8)

= ln (3 r^{2}) - ln (r - 8)

Apply log rule:

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

ln (3 r^{2}) = ln (3) + ln (r^{2})

= ln (3) + ln (r^{2}) - ln (r - 8)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (r^{2}) = 2 ln (r)

= ln (3) + 2 ln (r) - ln (r - 8)

- lo g_{10} (1.3 \cdot 1 0^{- 8})

3.3 + lo g_{10} (\frac{0.3}{0.25})

lo g_{10} (\frac{x}{3 y})

lo g_{10} (\frac{z ^{3}}{y x ^{5}})

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

What is expand ln((3r^2)/(r-8)) ?
The solution to expand ln((3r^2)/(r-8)) is ln(3)+2ln(r)-ln(r-8)