12^{x^2+5x-4}=12^{2x+6}

Lösung

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

x = 2, x = - 5

Schritte zur Lösung

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

Wende Exponentenregel an

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

Löse

x^{2} + 5 x - 4 = 2 x + 6 : x = 2, x = - 5

x = 2, x = - 5

2 7^{x^{4}} = 9^{24}

\frac{1 0 ^{x} + 1}{1 + 1 0 ^{- x}} = 100

2 e^{2 x} = 0

3^{2 x} = 3^{6}

4^{x} - 6 (2^{x}) = - 8