3125^{x+4}=25^{2x-2}

Lösung

312 5^{x + 4} = 2 5^{2 x - 2}

x = - 24

Schritte zur Lösung

312 5^{x + 4} = 2 5^{2 x - 2}

Wende Exponentenregel an

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

Löse

5 (x + 4) = 2 (2 x - 2) : x = - 24

x = - 24

5 e^{0.01 t} = 2 e^{0.02 t}

4 9^{3 x} = \frac{1}{343}

92 \cdot 3^{4 x} = 27

(x) = 2^{x + 1} - 3

4 (2^{x} + 2^{- x}) = 17