5^{x^2}*5^4=5^{5x}

Lösung

5^{x^{2}} \cdot 5^{4} = 5^{5 x}

x = 4, x = 1

Schritte zur Lösung

5^{x^{2}} \cdot 5^{4} = 5^{5 x}

Wende Exponentenregel an

x^{2} + 4 = 5 x

Löse

x^{2} + 4 = 5 x : x = 4, x = 1

x = 4, x = 1

2^{2 x} - 10 \cdot 2^{x} + 2^{4} = 0

27 (3^{2 x}) + 134 (3^{x}) - 5 = 0

2 = 1.0 8^{x}

4^{x - 3} = 2^{x - 1}

e^{x + 2} = k - 2