27^x=9^{x-2}

Lösung

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

x = - 4

Schritte zur Lösung

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

Wende Exponentenregel an

3 x = 2 (x - 2)

Löse

3 x = 2 (x - 2) : x = - 4

x = - 4

3^{x} = 60

4^{x^{2} - 6 x} = 16384

4^{x^{2}} = 2^{x}

so l v e f or n, (x^{3})^{3} = x^{n}

e^{7 x} = 3^{4 x - 1}