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

Lösung

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

x = 1, x = 3

Schritte zur Lösung

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

Wende Exponentenregel an

(x^{2} - 1) ln (x) = (x^{2} - 1) ln (3)

Löse

(x^{2} - 1) ln (x) = (x^{2} - 1) ln (3) : x = 1, x = 3

x = 1, x = 3

2 5^{x + 2} = 5

\frac{2 ^{x}}{2} = \frac{1}{8}

3^{2 + x} = 5^{x}

2 4^{- \frac{1}{x}} = \frac{1}{8}

(2)^{x} = 4^{x + 2}