(7^{3x})^3=243

Lösung

(7^{3 x})^{3} = 243

x = \frac{5 ln ( 3 )}{9 ln ( 7 )}

Dezimale

x = 0.31365 \dots

Schritte zur Lösung

(7^{3 x})^{3} = 243

Wende Exponentenregel an

3 x \cdot 3 ln (7) = ln (243)

Löse

3 x \cdot 3 ln (7) = ln (243) : x = \frac{5 ln ( 3 )}{9 ln ( 7 )}

x = \frac{5 ln ( 3 )}{9 ln ( 7 )}

2 5^{x + 2} = 5^{x^{2} + 6 x + 7}

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

5^{2 x - 3} = 7^{x - 1}

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

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