e^{x-1}=3^{(2x)/3}

Lösung

e^{x - 1} = 3^{\frac{2 x}{3}}

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

Dezimale

x = 3.73703 \dots

Schritte zur Lösung

e^{x - 1} = 3^{\frac{2 x}{3}}

Wende Exponentenregel an

x - 1 = \frac{2 x}{3} ln (3)

Löse

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

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

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

3^{x - 5} = 9

1 0^{x} = 18

so l v e f or x, 2 x A = B

2 = 1 4^{x + 2}