What is ln((3*x^3+2*pi)/(9*x+c)) ?

The solution to ln((3*x^3+2*pi)/(9*x+c)) is ln(3x^3+2pi)-ln(9x+c)

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simplify ln((3x^3+2pi)/(9*x+c))

simplify

ln (\frac{3 \cdot x ^{3} + 2 \cdot π}{9 \cdot x + c})

ln (3 x^{3} + 2 π) - ln (9 x + c)

Solution steps

ln (\frac{3 x ^{3} + 2 π}{9 x + c})

Apply log rule:

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

ln (\frac{3 x ^{3} + 2 π}{9 x + c}) = ln (3 x^{3} + 2 π) - ln (9 x + c)

= ln (3 x^{3} + 2 π) - ln (9 x + c)

- ln ∣ p ∣ + ln ∣ p - 3 ∣

ln (x^{3} \cdot y z)

ln ∣ x - 2 ∣ - ln ∣ x - 1 ∣

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

- lo g_{10} (6.12121 \cdot 1 0^{- 13})

What is ln((3*x^3+2*pi)/(9*x+c)) ?
The solution to ln((3*x^3+2*pi)/(9*x+c)) is ln(3x^3+2pi)-ln(9x+c)