2^{2x}=6

Lösung

2^{2 x} = 6

x = \frac{ln ( 6 )}{2 ln ( 2 )}

Dezimale

x = 1.29248 \dots

Schritte zur Lösung

2^{2 x} = 6

Wende Exponentenregel an

2 x ln (2) = ln (6)

Löse

2 x ln (2) = ln (6) : x = \frac{ln ( 6 )}{2 ln ( 2 )}

x = \frac{ln ( 6 )}{2 ln ( 2 )}

3^{\frac{x}{5}} = 2^{4 x - 2}

2^{x + 1} - 2^{x} = 8

5^{x} + 5^{x + 2} = 650

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

2 e^{3 x} = 5 e^{8 x}