(2/3)^x*(9/8)^x=2764

Lösung

(\frac{2}{3})^{x} \cdot (\frac{9}{8})^{x} = 2764

x = \frac{ln ( 2764 )}{ln ( \frac{3}{4} )}

Dezimale

x = - 27.54580 \dots

Schritte zur Lösung

(\frac{2}{3})^{x} (\frac{9}{8})^{x} = 2764

Wende Exponentenregel an

x ln (\frac{3}{4}) = ln (2764)

Löse

x ln (\frac{3}{4}) = ln (2764) : x = \frac{ln ( 2764 )}{ln ( \frac{3}{4} )}

x = \frac{ln ( 2764 )}{ln ( \frac{3}{4} )}

2 5^{x} = 0.2

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

9^{x + 2} = 2 7^{x}

so l v e f or x, (19) \cdot y = (c_{1} + c_{2} \cdot x) \cdot e^{x}

(5 + 24)^{x} + (5 - 24)^{x} = 10