3^{x+4}=5^{x+2}

Lösung

3^{x + 4} = 5^{x + 2}

x = \frac{4 ln ( 3 ) - 2 ln ( 5 )}{ln ( 5 ) - ln ( 3 )}

Dezimale

x = 2.30132 \dots

Schritte zur Lösung

3^{x + 4} = 5^{x + 2}

Wende Exponentenregel an

(x + 4) ln (3) = (x + 2) ln (5)

Löse

(x + 4) ln (3) = (x + 2) ln (5) : x = \frac{4 ln ( 3 ) - 2 ln ( 5 )}{ln ( 5 ) - ln ( 3 )}

x = \frac{4 ln ( 3 ) - 2 ln ( 5 )}{ln ( 5 ) - ln ( 3 )}

x x = 0.5

9^{x} - 4 (3^{x}) + 3 = 0

e^{x} + 12 e^{- x} - 7 = 0

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

100 = \frac{300}{1 + e ^{4 - t}}