13^x=2

Lösung

1 3^{x} = 2

x = \frac{ln ( 2 )}{ln ( 13 )}

Dezimale

x = 0.27023 \dots

Schritte zur Lösung

1 3^{x} = 2

Wende Exponentenregel an

x ln (13) = ln (2)

Löse

x ln (13) = ln (2) : x = \frac{ln ( 2 )}{ln ( 13 )}

x = \frac{ln ( 2 )}{ln ( 13 )}

1 6^{x} - 5 (4^{x}) + 6 = 0

e^{x} = 4 x^{2 + 10}

10 = 5 e^{5 x}

2^{2 x} - 5 (2^{x}) + 4 = 0

e^{- 3} e^{2} ln (e^{e}) = e^{x}