3^{4^{x+3}}=3^{16^{2x-5}}

Lösung

3^{4^{x + 3}} = 3^{1 6^{2 x - 5}}

x = \frac{13}{3}

Dezimale

x = 4.33333 \dots

Schritte zur Lösung

3^{4^{x + 3}} = 3^{1 6^{2 x - 5}}

Wende Exponentenregel an

x + 3 = 2 (2 x - 5)

Löse

x + 3 = 2 (2 x - 5) : x = \frac{13}{3}

x = \frac{13}{3}

110624.8 = 55000 \cdot (1.15)^{x}

3^{x - x^{2}} = \frac{1}{9 ^{x}}

7^{x} = 4 9^{2}

e^{x} = - \frac{1}{2}

4 9^{3 x} = 34 3^{2 x + 1}