12^{2/3 x}=23

Lösung

1 2^{\frac{2}{3} x} = 23

x = \frac{3 ln ( 23 )}{2 ln ( 12 )}

Dezimale

x = 1.89272 \dots

Schritte zur Lösung

1 2^{\frac{2}{3} x} = 23

Wende Exponentenregel an

\frac{2}{3} x ln (12) = ln (23)

Löse

\frac{2}{3} x ln (12) = ln (23) : x = \frac{3 ln ( 23 )}{2 ln ( 12 )}

x = \frac{3 ln ( 23 )}{2 ln ( 12 )}

8^{x + 5} = 1 6^{x}

2^{8} = 8^{x}

(3^{x + 1})^{2} = 8 1^{2 x - 4}

5^{2 x + 3} = 30

e^{3 x} - 2 e^{2 x} + 1 = 0