What is simplify-ln(3x^2+3x-10)+ln(2-5x) ?

The solution to simplify-ln(3x^2+3x-10)+ln(2-5x) is ln((2-5x)/(3x^2+3x-10))

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simplify-ln(3x^2+3x-10)+ln(2-5x)

simplify

- ln (3 x^{2} + 3 x - 10) + ln (2 - 5 x)

ln (\frac{2 - 5 x}{3 x ^{2} + 3 x - 10})

Solution steps

- ln (3 x^{2} + 3 x - 10) + ln (2 - 5 x)

Apply log rule:

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

ln (2 - 5 x) - ln (3 x^{2} + 3 x - 10) = ln (\frac{- 5 x + 2}{3 x ^{2} + 3 x - 10})

= ln (\frac{2 - 5 x}{3 x ^{2} + 3 x - 10})

ln (a e^{- b t})

2 (ln (5) - ln (2))

ln^{2} (x) + 1 - ln (x)

300 ln (\frac{1000}{2000})

ln (2) + 2 ln (2)

What is simplify-ln(3x^2+3x-10)+ln(2-5x) ?
The solution to simplify-ln(3x^2+3x-10)+ln(2-5x) is ln((2-5x)/(3x^2+3x-10))