6=2^x

Lösung

6 = 2^{x}

x = \frac{ln ( 6 )}{ln ( 2 )}

Dezimale

x = 2.58496 \dots

Schritte zur Lösung

6 = 2^{x}

Wende Exponentenregel an

ln (6) = x ln (2)

Löse

ln (6) = x ln (2) : x = \frac{ln ( 6 )}{ln ( 2 )}

x = \frac{ln ( 6 )}{ln ( 2 )}

so l v e f or x, e^{- x} = 0

\frac{5 ^{x + 3}}{25} = 5

5^{2 x} = 4

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

x^{x} = \frac{1}{2}