6^{1-x}=9

Lösung

6^{1 - x} = 9

x = - \frac{ln ( \frac{3}{2} )}{ln ( 6 )}

Dezimale

x = - 0.22629 \dots

Schritte zur Lösung

6^{1 - x} = 9

Wende Exponentenregel an

(1 - x) ln (6) = ln (9)

Löse

(1 - x) ln (6) = ln (9) : x = - \frac{ln ( \frac{3}{2} )}{ln ( 6 )}

x = - \frac{ln ( \frac{3}{2} )}{ln ( 6 )}

5^{2 x} = 8^{x - 1}

so l v e f or x, 2 e^{2 x} - e^{x} = 0

300 \cdot 2^{0.02 x} = 9000

87.88 e^{3 r} = 263.64

7 \cdot 1 0^{x} - 49 = 0