5^{2x-3}=16

Lösung

5^{2 x - 3} = 16

x = \frac{ln ( 2000 )}{2 ln ( 5 )}

Dezimale

x = 2.36135 \dots

Schritte zur Lösung

5^{2 x - 3} = 16

Wende Exponentenregel an

(2 x - 3) ln (5) = ln (16)

Löse

(2 x - 3) ln (5) = ln (16) : x = \frac{ln ( 2000 )}{2 ln ( 5 )}

x = \frac{ln ( 2000 )}{2 ln ( 5 )}

5^{2 x - 3} = 17

8 = (\frac{1}{4})^{x}

1 0^{2 x} - 5 (1 0^{x}) + 6 = 0

200 = 2^{x}

1 6^{x + 2} = 8^{x - 1}