e^{3-2x}=4

Lösung

e^{3 - 2 x} = 4

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

Dezimale

x = 0.80685 \dots

Schritte zur Lösung

e^{3 - 2 x} = 4

Wende Exponentenregel an

3 - 2 x = ln (4)

Löse

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

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

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

3^{x + 1} + 3^{x} + 3^{x - 1} = 117

3 (2^{2 x}) = 0.75

5^{x} = 100

6 x = \frac{10}{3} - 6^{- x}