1.4*0.9^x=0.5^x

Lösung

1.4 \cdot 0. 9^{x} = 0. 5^{x}

x = - \frac{ln ( 1.4 )}{ln ( 0.9 ) - ln ( 0.5 )}

Dezimale

x = - 0.57243 \dots

Schritte zur Lösung

1.4 \cdot 0. 9^{x} = 0. 5^{x}

Wende Exponentenregel an

ln (1.4) + x ln (0.9) = x ln (0.5)

Löse

ln (1.4) + x ln (0.9) = x ln (0.5) : x = - \frac{ln ( 1.4 )}{ln ( 0.9 ) - ln ( 0.5 )}

x = - \frac{ln ( 1.4 )}{ln ( 0.9 ) - ln ( 0.5 )}

10 0^{\frac{2}{x}} = (1 + 0.1)^{x}

2 (1 0^{x}) + 35 = 179

30 = 286.93 (0.973 8^{x})

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

4 \cdot 1 0^{2 x} = 1