6^{x-3}=2^x

Lösung

6^{x - 3} = 2^{x}

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

Dezimale

x = 4.89278 \dots

Schritte zur Lösung

6^{x - 3} = 2^{x}

Wende Exponentenregel an

(x - 3) ln (6) = x ln (2)

Löse

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

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

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

7^{- 2 x - 4} = 49

- 50 (1 - 2^{x}) = 123723

100 = 320 e^{- 3.1 t}

7^{2 x - 3} = 14