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

Lösung

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

x = 6

Schritte zur Lösung

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

Wende Exponentenregel an

3 (x + 2) = 4 x

Löse

3 (x + 2) = 4 x : x = 6

x = 6

so l v e f or y, x^{y} = 0

3^{x - 2} = 81

3 \cdot 2^{x} - 2^{x} = 1

3^{2 x + 3} = 81

\frac{5 ^{9}}{5 ^{x + 2}} = 625