ln(e^{5x})+ln(4)=6

Lösung

ln (e^{5 x}) + ln (4) = 6

x = \frac{6 - 2 ln ( 2 )}{5}

Dezimale

x = 0.92274 \dots

Schritte zur Lösung

ln (e^{5 x}) + ln (4) = 6

Wende Exponentenregel an

5 x + ln (4) = 6

Löse

5 x + ln (4) = 6 : x = \frac{6 - 2 ln ( 2 )}{5}

x = \frac{6 - 2 ln ( 2 )}{5}

e^{2 x} - 11 e^{x} + 28 = 0

4^{x + 2} = 8^{- 2 x}

3^{x} e^{4 x} = e^{7}

2^{2 x + 1} = 3 (2^{x}) - 1

2 7^{x} = 8 1^{x}