e^{(2x+3)}=37

Lösung

e^{(2 x + 3)} = 37

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

Dezimale

x = 0.30545 \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}

(2^{4})^{3} = 8^{x}

e^{x - 3} = 4

1 0^{4 x - 2} = 2^{4 x + 7}

4^{2 x + 3} = 8^{x - 2}

so l v e f or x, 2^{x} = 32