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Реши любую задачу с помощью нейросети.
Дано
$$2^{x} 3^{y} = 24$$
y x
2 *3 = 54
$$2^{y} 3^{x} = 54$$
Ответ
$$x_{1} = frac{- log{left (3 right )} log{left (54 right )} + log{left (2 right )} log{left (24 right )}}{- log^{2}{left (3 right )} + log^{2}{left (2 right )}}$$
=
$$frac{- log{left (3 right )} log{left (54 right )} + log{left (2 right )} log{left (24 right )}}{- log^{2}{left (3 right )} + log^{2}{left (2 right )}}$$
=
=
$$frac{- log{left (3 right )} log{left (54 right )} + log{left (2 right )} log{left (24 right )}}{- log^{2}{left (3 right )} + log^{2}{left (2 right )}}$$
=
3
$$y_{1} = frac{- log{left (3 right )} log{left (24 right )} + log{left (2 right )} log{left (54 right )}}{- log^{2}{left (3 right )} + log^{2}{left (2 right )}}$$
=
$$frac{- log{left (3 right )} log{left (24 right )} + log{left (2 right )} log{left (54 right )}}{- log^{2}{left (3 right )} + log^{2}{left (2 right )}}$$
=
1
Численный ответ
x1 = 3.00000000000000
y1 = 1.00000000000000
x2 = 2.999999999999998
y2 = 1.000000000000004