e^{2x-3}=37

Lösung

e^{2 x - 3} = 37

x = \frac{ln ( 37 ) + 3}{2}

Dezimale

x = 3.30545 \dots

Schritte zur Lösung

e^{2 x - 3} = 37

Wende Exponentenregel an

2 x - 3 = ln (37)

Löse

2 x - 3 = ln (37) : x = \frac{ln ( 37 ) + 3}{2}

x = \frac{ln ( 37 ) + 3}{2}

8 = 6^{x + 4}

5^{2 x - 1} = 7^{x - 5}

(\frac{1}{5})^{x} = 5

6^{x} - 4 \cdot 3^{x} = 0

\frac{3 e ^{x}}{( 3 + e ^{x} ) ^{2}} = 0