25^{3x+2}=(1/5)^{2x+5}

Lösung

2 5^{3 x + 2} = (\frac{1}{5})^{2 x + 5}

x = - \frac{9}{8}

Dezimale

x = - 1.125

Schritte zur Lösung

2 5^{3 x + 2} = (\frac{1}{5})^{2 x + 5}

Wende Exponentenregel an

2 (3 x + 2) = - (2 x + 5)

Löse

2 (3 x + 2) = - (2 x + 5) : x = - \frac{9}{8}

x = - \frac{9}{8}

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

4^{x} = 2^{x} + 6

e^{x - 1} = 12

50000 = 100 \cdot 2^{\frac{x}{3}}

5^{5 x + 1} = 125