0.8794=1.3^{(-x^2)}

Lösung

0.8794 = 1. 3^{(- x^{2})}

x = - \frac{ln ( 0.8794 )}{ln ( 1.3 )}, x = - - \frac{ln ( 0.8794 )}{ln ( 1.3 )}

Dezimale

x = 0.69988 \dots, x = - 0.69988 \dots

Schritte zur Lösung

0.8794 = 1. 3^{(- x^{2})}

Wende Exponentenregel an

ln (0.8794) = - x^{2} ln (1.3)

Löse

ln (0.8794) = - x^{2} ln (1.3) : x = - \frac{ln ( 0.8794 )}{ln ( 1.3 )}, x = - - \frac{ln ( 0.8794 )}{ln ( 1.3 )}

x = - \frac{ln ( 0.8794 )}{ln ( 1.3 )}, x = - - \frac{ln ( 0.8794 )}{ln ( 1.3 )}

2^{2 x + 7} = 3^{x - 4}

6 \cdot e^{x} = 25

500 = 2000 \cdot (2^{- 0.1 x})

4^{3 x + 5} = 6 4^{x} \cdot 4^{5}

b^{y} = c