3^{x^2}=7

Lösung

3^{x^{2}} = 7

x = \frac{ln ( 7 )}{ln ( 3 )}, x = - \frac{ln ( 7 )}{ln ( 3 )}

Dezimale

x = 1.33088 \dots, x = - 1.33088 \dots

Schritte zur Lösung

3^{x^{2}} = 7

Wende Exponentenregel an

x^{2} ln (3) = ln (7)

Löse

x^{2} ln (3) = ln (7) : x = \frac{ln ( 7 )}{ln ( 3 )}, x = - \frac{ln ( 7 )}{ln ( 3 )}

x = \frac{ln ( 7 )}{ln ( 3 )}, x = - \frac{ln ( 7 )}{ln ( 3 )}

9 e^{x} = 107

2^{b} = 7

77 = 2 3^{x}

3^{2 x} + 2 \cdot 3^{x} + 1 = 0

so l v e f or x, F x + e^{- x} F_{y} = 0