ln(x^4-5x^2+4)=-1

Lösung

ln (x^{4} - 5 x^{2} + 4) = - 1

x = \frac{5 e + 9 e ^{2} + 4 e}{2 e}, x = - \frac{5 e + 9 e ^{2} + 4 e}{2 e}, x = \frac{5 e - 9 e ^{2} + 4 e}{2 e}, x = - \frac{5 e - 9 e ^{2} + 4 e}{2 e}

Dezimale

x = 2.02928 \dots, x = - 2.02928 \dots, x = 0.93915 \dots, x = - 0.93915 \dots

Schritte zur Lösung

ln (x^{4} - 5 x^{2} + 4) = - 1

Wende die log Regel an

x^{4} - 5 x^{2} + 4 = \frac{1}{e}

Löse

x^{4} - 5 x^{2} + 4 = \frac{1}{e} : x = \frac{5 e + 9 e ^{2} + 4 e}{2 e}, x = - \frac{5 e + 9 e ^{2} + 4 e}{2 e}, x = \frac{5 e - 9 e ^{2} + 4 e}{2 e}, x = - \frac{5 e - 9 e ^{2} + 4 e}{2 e}

x = \frac{5 e + 9 e ^{2} + 4 e}{2 e}, x = - \frac{5 e + 9 e ^{2} + 4 e}{2 e}, x = \frac{5 e - 9 e ^{2} + 4 e}{2 e}, x = - \frac{5 e - 9 e ^{2} + 4 e}{2 e}

lo g_{2} (x + 4) = - lo g_{2} (x + 7) + 2

ln (3 x - 17) = 4

2 ln (\frac{2}{x}) = e

lo g_{x - 2} (2 x^{2} - 11 x + 16) = 2

lo g_{10} (0.5 x) = - 6