9^{2x-1}=27^{x+2}

Lösung

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

x = 8

Schritte zur Lösung

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

Wende Exponentenregel an

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

Löse

2 (2 x - 1) = 3 (x + 2) : x = 8

x = 8

2^{x} = 125

7^{9 x + 7} = 2

so l v e f or x, y = 3^{x}

so l v e f or x, 7^{x - 1} = e^{y}

5^{2 x - 3} = 7^{x + 1}