2^{2x+3}=14

Lösung

2^{2 x + 3} = 14

x = \frac{ln ( \frac{7}{4} )}{2 ln ( 2 )}

Dezimale

x = 0.40367 \dots

Schritte zur Lösung

2^{2 x + 3} = 14

Wende Exponentenregel an

(2 x + 3) ln (2) = ln (14)

Löse

(2 x + 3) ln (2) = ln (14) : x = \frac{ln ( \frac{7}{4} )}{2 ln ( 2 )}

x = \frac{ln ( \frac{7}{4} )}{2 ln ( 2 )}

5^{6 x + 5} = 2

2200 = 1000 (1 + k)^{n}

1 0^{13} = 2^{n}

2 \cdot 3^{2 x} - 5 \cdot 3^{x} + 2 = 0

2 e^{x} + 6 e^{- x} = 7