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Popular >

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

Solution

simplify

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

Solution

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)

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Frequently Asked Questions (FAQ)

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