ln(8x-1)=-2

Lösung

ln (8 x - 1) = - 2

x = \frac{1 + e ^{2}}{8 e ^{2}}

Dezimale

x = 0.14191 \dots

Schritte zur Lösung

ln (8 x - 1) = - 2

Wende die log Regel an

8 x - 1 = \frac{1}{e ^{2}}

Löse

8 x - 1 = \frac{1}{e ^{2}} : x = \frac{1 + e ^{2}}{8 e ^{2}}

x = \frac{1 + e ^{2}}{8 e ^{2}}

ln (1 + x) = 4

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

ln (4 x) = 4

ln (1 + x) = x

lo g_{1000} (x) = - \frac{2}{3}