6^{x-2}= 1/4

Lösung

6^{x - 2} = \frac{1}{4}

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

Dezimale

x = 1.22629 \dots

Schritte zur Lösung

6^{x - 2} = \frac{1}{4}

Wende Exponentenregel an

(x - 2) ln (6) = ln (\frac{1}{4})

Löse

(x - 2) ln (6) = ln (\frac{1}{4}) : x = - \frac{2 ln ( 2 )}{ln ( 6 )} + 2

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

500 = 30 e^{x}

5^{x + 2} = 7^{2 x + 1}

4^{x + 6} = 7

4^{3 x + 5} = 16

5^{1 - 2 x} = \frac{1}{5}