3^{n+3}=9^n

Lösung

3^{n + 3} = 9^{n}

n = 3

Schritte zur Lösung

3^{n + 3} = 9^{n}

Wende Exponentenregel an

n + 3 = 2 n

Löse

n + 3 = 2 n : n = 3

n = 3

7^{n + 2} + 4 9^{n + 1} = 120050

2^{x^{2}} = 4^{\frac{9}{2} x - 9}

1 7^{- 2 x} = 6^{- x - 2}

2 5^{\frac{1}{2} + 2 x} = 5

7^{x^{2} - 5 x + 6} = 1