log_{e}(x^2-1)=3

Lösung

lo g_{e} (x^{2} - 1) = 3

x = e^{3} + 1, x = - e^{3} + 1

Dezimale

x = 4.59189 \dots, x = - 4.59189 \dots

Schritte zur Lösung

lo g_{e} (x^{2} - 1) = 3

Wende die log Regel an

x^{2} - 1 = e^{3}

Löse

x^{2} - 1 = e^{3} : x = e^{3} + 1, x = - e^{3} + 1

x = e^{3} + 1, x = - e^{3} + 1

lo g_{m} (4) = 2

2 lo g_{3} (x) - lo g_{3} (4) = 4

5 lo g_{10} (2 x - 8) = 2

10 lo g_{10} (1 + x^{2}) = 0.5

ln (s) = 74484