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

Lösung

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

x = \frac{5 ln ( 5 ) - 5 ln ( 2 )}{ln ( 5 ) - ln ( 2 )}

Dezimale

x = 5

Schritte zur Lösung

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

Wende Exponentenregel an

(5 - x) ln (5) = (5 - x) ln (2)

Löse

(5 - x) ln (5) = (5 - x) ln (2) : x = \frac{5 ln ( 5 ) - 5 ln ( 2 )}{ln ( 5 ) - ln ( 2 )}

x = \frac{5 ln ( 5 ) - 5 ln ( 2 )}{ln ( 5 ) - ln ( 2 )}

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

3^{2 x - 1} - 3^{x} = 18

2^{x} - 3 = 8

e^{x} = 3

2^{2 x + 3} + 2^{x + 3} = 1 + 2^{x}