3^{2x-x^2}=5^{4x^2-3x}

Lösung

3^{2 x - x^{2}} = 5^{4 x^{2} - 3 x}

x = 0, x = \frac{ln ( 1125 )}{ln ( 1875 )}

Dezimale

x = 0, x = 0.93221 \dots

Schritte zur Lösung

3^{2 x - x^{2}} = 5^{4 x^{2} - 3 x}

Wende Exponentenregel an

(2 x - x^{2}) ln (3) = (4 x^{2} - 3 x) ln (5)

Löse

(2 x - x^{2}) ln (3) = (4 x^{2} - 3 x) ln (5) : x = 0, x = \frac{ln ( 1125 )}{ln ( 1875 )}

x = 0, x = \frac{ln ( 1125 )}{ln ( 1875 )}

8^{x} = 3

e^{- x} = 0.1

x 4 \cdot 3^{3 x + 2} + 3^{3 x + 3} = 7

x^{l o g_{10} (x) - 1} = 100

2^{x + 3} + 63 = \frac{8}{2 ^{x}}