4^{(1-x)}=3^{(2x+3)}

Lösung

4^{(1 - x)} = 3^{(2 x + 3)}

x = - \frac{3 ln ( 3 ) - 2 ln ( 2 )}{2 ln ( 6 )}

Dezimale

x = - 0.53286 \dots

Schritte zur Lösung

4^{(1 - x)} = 3^{(2 x + 3)}

Wende Exponentenregel an

(1 - x) ln (4) = (2 x + 3) ln (3)

Löse

(1 - x) ln (4) = (2 x + 3) ln (3) : x = - \frac{3 ln ( 3 ) - 2 ln ( 2 )}{2 ln ( 6 )}

x = - \frac{3 ln ( 3 ) - 2 ln ( 2 )}{2 ln ( 6 )}

e^{e^{e^{x}}} = 15.1546741867000 \dots

e^{x - 3} + 1 = 4 x - 3

8 = 3^{x}

8^{4 x + 2} = 64

so l v e f or x, 1 = e^{x y}