6^{2-x}=4^{3x}

Lösung

6^{2 - x} = 4^{3 x}

x = \frac{2 ln ( 6 )}{ln ( 384 )}

Dezimale

x = 0.60220 \dots

Schritte zur Lösung

6^{2 - x} = 4^{3 x}

Wende Exponentenregel an

(2 - x) ln (6) = 3 x ln (4)

Löse

(2 - x) ln (6) = 3 x ln (4) : x = \frac{2 ln ( 6 )}{ln ( 384 )}

x = \frac{2 ln ( 6 )}{ln ( 384 )}

2^{x} = 1000000

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

2 7^{x - 1} = 9^{2 x - 3}

(2 e^{x})^{3} = 1

- 2 x e^{- x^{2}} = 0