e^x=3^{x-2}

Lösung

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

x = \frac{2 ln ( 3 )}{ln ( 3 ) - 1}

Dezimale

x = 22.28144 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

x = (x - 2) ln (3)

Löse

x = (x - 2) ln (3) : x = \frac{2 ln ( 3 )}{ln ( 3 ) - 1}

x = \frac{2 ln ( 3 )}{ln ( 3 ) - 1}

3^{2 x} = 5^{x - 1}

e^{\frac{1}{x}} = 0

x^{x^{9}} = 3^{3}

- e^{- x} = 0

3 2^{\frac{x}{3}} = 8^{x - 12}