log(x-y)*1/log(3)=1 3^x*2^y=72
Решение
Вы ввели
[LaTeX]
log(x - y) ---------- = 1 log(3)
$$\frac{\log{\left (x - y \right )}}{\log{\left (3 \right )}} = 1$$
x y 3 *2 = 72
$$2^{y} 3^{x} = 72$$
Быстрый ответ
[LaTeX]
$$x_{1} = \log{\left (24^{\frac{2}{\log{\left (6 \right )}}} \right )}$$
=
$$\frac{2 \log{\left (24 \right )}}{\log{\left (6 \right )}}$$
=
$$y_{1} = \frac{1}{\log{\left (6 \right )}} \left(- \log{\left (3 \right )} + \log{\left (8 \right )}\right)$$
=
$$\frac{1}{\log{\left (6 \right )}} \left(- \log{\left (3 \right )} + \log{\left (8 \right )}\right)$$
=
=
$$\frac{2 \log{\left (24 \right )}}{\log{\left (6 \right )}}$$
=
3.54741122893817
$$y_{1} = \frac{1}{\log{\left (6 \right )}} \left(- \log{\left (3 \right )} + \log{\left (8 \right )}\right)$$
=
$$\frac{1}{\log{\left (6 \right )}} \left(- \log{\left (3 \right )} + \log{\left (8 \right )}\right)$$
=
0.547411228938166
Численный ответ
[LaTeX]
x1 = 3.547411228938152 + 5.837415720553292e-14*i y1 = 0.5474112289381889 - 9.252085018197136e-14*i
x2 = 3.547411228938166 + 4.698610472376212e-18*i y2 = 0.5474112289381667 - 7.447121404212016e-18*i
x3 = 3.547411228938166 - 2.179069312302276e-29*i y3 = 0.5474112289381663 + 3.453743140273951e-29*i
x4 = 3.547411228938166 - 2.290529715309103e-29*i y4 = 0.5474112289381663 + 3.630403700499122e-29*i
x5 = 3.54741122893817 + 1.695759127489344e-15*i y5 = 0.54741122893816 - 2.687714627326237e-15*i