log(x-y)*1/log(3)=1 3^x*2^y=72

Вы ввели

[TeX]

[pretty]

[text]

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

[TeX]

$$x_{1} = \log{\left (24^{\frac{2}{\log{\left (6 \right )}}} \right )}$$
=
$$\frac{2 \log{\left (24 \right )}}{\log{\left (6 \right )}}$$
=

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

[pretty]

[text]

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