2^{2x+3}=15

Lösung

2^{2 x + 3} = 15

x = \frac{ln ( 15 ) - 3 ln ( 2 )}{2 ln ( 2 )}

Dezimale

x = 0.45344 \dots

Schritte zur Lösung

2^{2 x + 3} = 15

Wende Exponentenregel an

(2 x + 3) ln (2) = ln (15)

Löse

(2 x + 3) ln (2) = ln (15) : x = \frac{ln ( 15 ) - 3 ln ( 2 )}{2 ln ( 2 )}

x = \frac{ln ( 15 ) - 3 ln ( 2 )}{2 ln ( 2 )}

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

e^{x} = e^{2 x}

e^{y} = e

\frac{3000}{2 + e ^{2 x}} = 2

3^{4^{2^{x}}} = 8 1^{2^{6}}