3^{2x}=2

Lösung

3^{2 x} = 2

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

Dezimale

x = 0.31546 \dots

Schritte zur Lösung

3^{2 x} = 2

Wende Exponentenregel an

2 x ln (3) = ln (2)

Löse

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

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

3^{3 x - 7} = \frac{1}{81}

3 6^{2 x + 5} = 6^{3 x + 1}

so l v e f or x, e^{x y} - y^{2} = e - 4

10 e^{\frac{x}{2}} = 1

3^{2 x - 6} = 81