5^{1-2x}=9

Lösung

5^{1 - 2 x} = 9

x = - \frac{2 ln ( 3 ) - ln ( 5 )}{2 ln ( 5 )}

Dezimale

x = - 0.18260 \dots

Schritte zur Lösung

5^{1 - 2 x} = 9

Wende Exponentenregel an

(1 - 2 x) ln (5) = ln (9)

Löse

(1 - 2 x) ln (5) = ln (9) : x = - \frac{2 ln ( 3 ) - ln ( 5 )}{2 ln ( 5 )}

x = - \frac{2 ln ( 3 ) - ln ( 5 )}{2 ln ( 5 )}

3^{x} = 500

4^{x} = 128

3^{x} = 23

2^{x + 3} + 4^{x + 1} = 320

4^{x^{2} - 11 x + 30} = 16