27^{2x}=243^{x-2}

Lösung

2 7^{2 x} = 24 3^{x - 2}

x = - 10

Schritte zur Lösung

2 7^{2 x} = 24 3^{x - 2}

Wende Exponentenregel an

6 x = 5 (x - 2)

Löse

6 x = 5 (x - 2) : x = - 10

x = - 10

250000 = 50 e^{1.827226683 t}

5^{x + 1} = 4^{2 x - 3}

8^{2 x + 1} = 105

so l v e f or x, e^{\frac{x}{2}} = 4 l n x

2^{- b} = 1