2^{2x}=9

Lösung

2^{2 x} = 9

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

Dezimale

x = 1.58496 \dots

Schritte zur Lösung

2^{2 x} = 9

Wende Exponentenregel an

2 x ln (2) = ln (9)

Löse

2 x ln (2) = ln (9) : x = \frac{ln ( 3 )}{ln ( 2 )}

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

2^{x^{2} + x} = 1

2 (5^{x}) = 7 + 15 (5^{- x})

64 = 3 2^{- x - 1}

e^{4 x} = 23

e^{4 x} = - 1