8^{4n-2}=4^{3n+3}

Lösung

8^{4 n - 2} = 4^{3 n + 3}

n = 2

Schritte zur Lösung

8^{4 n - 2} = 4^{3 n + 3}

Wende Exponentenregel an

3 (4 n - 2) = 2 (3 n + 3)

Löse

3 (4 n - 2) = 2 (3 n + 3) : n = 2

n = 2

(x^{2} - 5) (e^{x} - 5) = 0

16 = 2^{x - 2}

2^{x + 1} - 2^{x - 1} - 8 = 0

4^{5 - 9 x} = \frac{1}{8 ^{x - 2}}

\frac{1}{2} = 4^{x}