6^{1-x}=10^x

Lösung

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

x = \frac{ln ( 6 )}{ln ( 60 )}

Dezimale

x = 0.43761 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

(1 - x) ln (6) = x ln (10)

Löse

(1 - x) ln (6) = x ln (10) : x = \frac{ln ( 6 )}{ln ( 60 )}

x = \frac{ln ( 6 )}{ln ( 60 )}

x^{l o g_{2} (x) + 2} = 8

6 e^{3 x} = 1

0 = 2^{x}

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

10 e^{(x - 9)} = 90