What is ln(((3b^2+21b))/((11b+77))) ?

The solution to ln(((3b^2+21b))/((11b+77))) is ln(3b^2+21b)-ln(11b+77)

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simplify ln(((3b^2+21b))/((11b+77)))

simplify

ln (\frac{( 3 b ^{2} + 21 b )}{( 11 b + 77 )})

ln (3 b^{2} + 21 b) - ln (11 b + 77)

Solution steps

ln (\frac{( 3 b ^{2} + 21 b )}{( 11 b + 77 )})

Apply log rule:

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

ln (\frac{( 3 b ^{2} + 21 b )}{( 11 b + 77 )}) = ln ((3 b^{2} + 21 b)) - ln ((11 b + 77))

= ln (3 b^{2} + 21 b) - ln (11 b + 77)

ln^{2} (e^{2} + 2 - 2) + \frac{1}{2} - ln^{2} (- 1)

4 ln (\frac{3}{2})

ln (x - 155) - ln (53 - 155)

ln (- 10 e^{- \frac{2 10}{5} x})

lo g_{12} (\frac{12 13}{11 n})

What is ln(((3b^2+21b))/((11b+77))) ?
The solution to ln(((3b^2+21b))/((11b+77))) is ln(3b^2+21b)-ln(11b+77)