x^{2x}=(2x)^x

Lösung

x^{2 x} = (2 x)^{x}

x = 2

Schritte zur Lösung

x^{2 x} = (2 x)^{x}

Wende Exponentenregel an

2 x ln (x) = x ln (2 x)

Löse

2 x ln (x) = x ln (2 x) : x = 2

x = 2

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

e^{2 x} - 3 e^{x} = 10

6^{3 x + 1} = 777 6^{2}

6^{x + 9} = 3 6^{x}

6^{x^{3}} = 21 6^{x}