6^{(3x-5)}=27

Lösung

6^{(3 x - 5)} = 27

x = \frac{3 ln ( 3 ) + 5 ln ( 6 )}{3 ln ( 6 )}

Dezimale

x = 2.27981 \dots

Schritte zur Lösung

6^{(3 x - 5)} = 27

Wende Exponentenregel an

(3 x - 5) ln (6) = ln (27)

Löse

(3 x - 5) ln (6) = ln (27) : x = \frac{3 ln ( 3 ) + 5 ln ( 6 )}{3 ln ( 6 )}

x = \frac{3 ln ( 3 ) + 5 ln ( 6 )}{3 ln ( 6 )}

e^{\frac{x}{10}} + 2 = 0

(7^{4})^{5} = 1680 7^{x}

2^{2 x + 3} - 33 (2^{x}) + 4 = 0

x^{x} = 1 0^{6}

9^{2 x - 7} = \frac{1}{3}