36*6^{2x+6}=6^{x^2}

Lösung

36 \cdot 6^{2 x + 6} = 6^{x^{2}}

x = 4, x = - 2

Schritte zur Lösung

36 \cdot 6^{2 x + 6} = 6^{x^{2}}

Wende Exponentenregel an

2 x + 8 = x^{2}

Löse

2 x + 8 = x^{2} : x = 4, x = - 2

x = 4, x = - 2

2 e^{- x} x - e^{- x} x^{2} = 0

8^{3 x - 1} = 3 2^{x}

5^{x} = 13

8 e^{- x} - e^{x} = 2

3^{x + 1} + 3^{x} + 3^{x - 1} = 39