Logarithmusgleichung lösen. ln(3x+5) - ln(2x +1 ) = 3 - ln(x)

Question

ln(3x+5) - ln(2x +1 ) = 3 - ln(x)

Answer 1

ln(3x+5) + ln(x) = 3 + ln(2x +1)

(3x+5) * x = e^3 * (2x+1)

3x^2 + 5x = 2·e^3·x + e^3

3x^2 + 5x - 2·e^3·x - e^3 = 0

3x^2 -35.17107384x -20.08553692 = 0

x = -0.5456822203 ∨ x = 12.26937350

Answer 2

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Answer 3

ln(3x+5) - ln(2x +1 ) = 3 - ln(x)