25^{x-1}+100=5^{2x-1}

Lösung

2 5^{x - 1} + 100 = 5^{2 x - 1}

x = 2

Schritte zur Lösung

2 5^{x - 1} + 100 = 5^{2 x - 1}

Wende Exponentenregel an

2 x = 4

Löse

2 x = 4 : x = 2

x = 2

2^{2 x + 1} = 2^{x + 2}

6^{x + 2} = 1 3^{9 x}

2^{2 x + 5} - 7 (2^{x}) = 0

2^{x + 1} + 2^{2 x} = 80

4 e^{1 + 3 x} - 9 e^{5 - 2 x} = 0