3^{2x}=5

Lösung

3^{2 x} = 5

x = \frac{ln ( 5 )}{2 ln ( 3 )}

Dezimale

x = 0.73248 \dots

Schritte zur Lösung

3^{2 x} = 5

Wende Exponentenregel an

2 x ln (3) = ln (5)

Löse

2 x ln (3) = ln (5) : x = \frac{ln ( 5 )}{2 ln ( 3 )}

x = \frac{ln ( 5 )}{2 ln ( 3 )}

\frac{e ^{x} - 3 e ^{- x}}{2} = 1

2^{x} = \frac{1}{128}

e^{x - 1} - 6 = - 2 x - 3

3^{x + 1} = 5

e^{- 4 x} - 5 e^{- 2 x} + 6 = 0