25^{x/2}=125^{x+3}

Lösung

2 5^{\frac{x}{2}} = 12 5^{x + 3}

x = - \frac{9}{2}

Dezimale

x = - 4.5

Schritte zur Lösung

2 5^{\frac{x}{2}} = 12 5^{x + 3}

Wende Exponentenregel an

x = 3 (x + 3)

Löse

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

x = - \frac{9}{2}

6 - 3 \cdot 5^{x} = 2

343 = 7^{x}

7^{x - 3} + 7^{x - 2} + 7^{x - 1} = 57

5^{x - 1} = 5^{3 x - 11}

3^{2 x - 2} = 5^{x - 1}