(3/2)^x=4^{(1-x)}

Lösung

(\frac{3}{2})^{x} = 4^{(1 - x)}

x = \frac{2 ln ( 2 )}{ln ( 6 )}

Dezimale

x = 0.77370 \dots

Schritte zur Lösung

(\frac{3}{2})^{x} = 4^{(1 - x)}

Wende Exponentenregel an

x ln (\frac{3}{2}) = (1 - x) ln (4)

Löse

x ln (\frac{3}{2}) = (1 - x) ln (4) : x = \frac{2 ln ( 2 )}{ln ( 6 )}

x = \frac{2 ln ( 2 )}{ln ( 6 )}

e^{(- x + 1)} = 15

8^{6 x^{2} + 4 x} = 4^{9 x^{2} - 9 x + 6}

0. 1^{x} = 10

so l v e f or n, (1 + i)^{n} = 32 i

2^{x} = 46