3^x=11

Lösung

3^{x} = 11

x = \frac{ln ( 11 )}{ln ( 3 )}

Dezimale

x = 2.18265 \dots

Schritte zur Lösung

3^{x} = 11

Wende Exponentenregel an

x ln (3) = ln (11)

Löse

x ln (3) = ln (11) : x = \frac{ln ( 11 )}{ln ( 3 )}

x = \frac{ln ( 11 )}{ln ( 3 )}

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

so l v e f or x, y = b + a e^{- x}

e^{3 x} = 1

e^{3 x} = 5

7^{x} = 49