9^{2x^2+2x}=27

Lösung

9^{2 x^{2} + 2 x} = 27

x = \frac{1}{2}, x = - \frac{3}{2}

Dezimale

x = 0.5, x = - 1.5

Schritte zur Lösung

9^{2 x^{2} + 2 x} = 27

Wende Exponentenregel an

2 (2 x^{2} + 2 x) = 3

Löse

2 (2 x^{2} + 2 x) = 3 : x = \frac{1}{2}, x = - \frac{3}{2}

x = \frac{1}{2}, x = - \frac{3}{2}

x 16 = 8^{- x} - 4

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

\frac{2 ^{5 x}}{( 2 ^{x} )} = 3 2^{\frac{1}{5}}

n^{n} = 2

e^{x} + 3 e^{- x} = 4