3^{x+3}=27^{x-2}

Lösung

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

x = \frac{9}{2}

Dezimale

x = 4.5

Schritte zur Lösung

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

Wende Exponentenregel an

x + 3 = 3 (x - 2)

Löse

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

x = \frac{9}{2}

e^{x} = e^{3 x + 18}

2^{x + 1} = 10

x^{x} = 10

5 \cdot 6^{x} = 12 \cdot 3^{x}

3 (5^{x}) - 200 = 175