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

Lösung

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

x = \frac{ln ( 54 )}{ln ( \frac{3}{2} )}

Dezimale

x = 9.83804 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

(x + 1) ln (6) = (2 x - 2) ln (3)

Löse

(x + 1) ln (6) = (2 x - 2) ln (3) : x = \frac{ln ( 54 )}{ln ( \frac{3}{2} )}

x = \frac{ln ( 54 )}{ln ( \frac{3}{2} )}

8^{6 w} = 8^{w^{2} + 9}

8^{x} = \frac{1}{8}

2^{x} = 101

- e^{- x} = 0.5

72 9^{x} = 27