2^x=16sqrt(2)

Lösung

2^{x} = 162

x = \frac{9}{2}

Dezimale

x = 4.5

Schritte zur Lösung

2^{x} = 162

Wende Exponentenregel an

x = \frac{9}{2}

(\frac{1}{4})^{2 x} = 3 2^{4 x - 2}

3^{2 x} = 243

e^{x + 1} = 4^{x + 4}

5 (2)^{x + 1} = 9

7 e^{9 x} = 20