7^x=3^{x+4}

Lösung

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

x = \frac{4 ln ( 3 )}{ln ( 7 ) - ln ( 3 )}

Dezimale

x = 5.18642 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

x ln (7) = (x + 4) ln (3)

Löse

x ln (7) = (x + 4) ln (3) : x = \frac{4 ln ( 3 )}{ln ( 7 ) - ln ( 3 )}

x = \frac{4 ln ( 3 )}{ln ( 7 ) - ln ( 3 )}

4 e^{x} = 100

9^{x + 1} = 33

so l v e f or x, y^{x} = x^{y}

e^{2 x} = 2 e^{x}

so l v e f or x, 2^{x} + 2^{y} = 18