(x-6)^{x^2-5}=(x-6)^{2x+3}

Lösung

(x - 6)^{x^{2} - 5} = (x - 6)^{2 x + 3}

x = 7

Schritte zur Lösung

(x - 6)^{x^{2} - 5} = (x - 6)^{2 x + 3}

Wende Exponentenregel an

(x^{2} - 5) ln (x - 6) = (2 x + 3) ln (x - 6)

Löse

(x^{2} - 5) ln (x - 6) = (2 x + 3) ln (x - 6) : x = 7

x = 7

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

3^{2 x - 3} = \frac{2 7 ^{x + 1}}{2}

e^{- 4 x} - 4 x e^{- 4 x} = 0

1 0^{a} = 92

2 \cdot 5^{x + 1} + 5^{x - 1} = 51