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Реши любую задачу с помощью нейросети.
Дано
$$4^{y} 5^{x} = 400$$
x y
2 *25 = 2500
$$2^{x} 25^{y} = 2500$$
Ответ
$$x_{1} = log{left (left(frac{50^{log{left (2 right )}}}{20^{log{left (5 right )}}}right)^{frac{2}{- log^{2}{left (5 right )} + log^{2}{left (2 right )}}} right )}$$
=
$$log{left (left(frac{50^{log{left (2 right )}}}{20^{log{left (5 right )}}}right)^{frac{2}{- log^{2}{left (5 right )} + log^{2}{left (2 right )}}} right )}$$
=
=
$$log{left (left(frac{50^{log{left (2 right )}}}{20^{log{left (5 right )}}}right)^{frac{2}{- log^{2}{left (5 right )} + log^{2}{left (2 right )}}} right )}$$
=
2
$$y_{1} = frac{- log{left (5 right )} log{left (50 right )} + log{left (2 right )} log{left (20 right )}}{- log^{2}{left (5 right )} + log^{2}{left (2 right )}}$$
=
$$frac{- log{left (5 right )} log{left (50 right )} + log{left (2 right )} log{left (20 right )}}{- log^{2}{left (5 right )} + log^{2}{left (2 right )}}$$
=
2
Численный ответ
x1 = 1.999999999999992
y1 = 2.000000000000009
x2 = 2.00000000000000
y2 = 2.00000000000000