36^x*6^{x^2}=1296^2

Lösung

3 6^{x} \cdot 6^{x^{2}} = 129 6^{2}

x = 2, x = - 4

Schritte zur Lösung

3 6^{x} \cdot 6^{x^{2}} = 129 6^{2}

Wende Exponentenregel an

2 x + x^{2} = 8

Löse

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

x = 2, x = - 4

e^{5 x} = 0

so l v e f or y, e^{x y} = y

7^{2 x + 1} = 3^{x + 3}

e^{- x} - 9 e^{- 3 x} = 0

5^{x} = 2 5^{x - 2}