25^{2x+4}=625^{2x-1}

Lösung

2 5^{2 x + 4} = 62 5^{2 x - 1}

x = 3

Schritte zur Lösung

2 5^{2 x + 4} = 62 5^{2 x - 1}

Wende Exponentenregel an

2 x + 4 = 2 (2 x - 1)

Löse

2 x + 4 = 2 (2 x - 1) : x = 3

x = 3

2 (3 e^{- x} x^{2} - e^{- x} x^{3}) = 0

e^{x} - 3 e^{- x} - 4 = 0

4^{x} = 3 2^{2 + x}

5^{3 x + 2} + 3 \times 5^{6 x + 2} - 100 = 0

(24)^{x} = 5.76