На странице представлен фрагмент
Реши любую задачу с помощью нейросети.
Дано
$$2^{y} 3^{x} = 576$$
log(2)*(y – x) = 2
$$left(- x + yright) log{left (2 right )} = 2$$
Ответ
$$x_{1} = frac{1}{log{left (2 right )}} left(-2 + log{left (left(576 cdot 3^{frac{2}{log{left (2 right )}}}right)^{log{left (2^{frac{1}{log{left (6 right )}}} right )}} right )}right)$$
=
$$frac{1}{log{left (2 right )}} left(-2 + log{left (left(576 cdot 3^{frac{2}{log{left (2 right )}}}right)^{log{left (2^{frac{1}{log{left (6 right )}}} right )}} right )}right)$$
=
=
$$frac{1}{log{left (2 right )}} left(-2 + log{left (left(576 cdot 3^{frac{2}{log{left (2 right )}}}right)^{log{left (2^{frac{1}{log{left (6 right )}}} right )}} right )}right)$$
=
2.43118997583567
$$y_{1} = log{left (left(576 cdot 3^{frac{2}{log{left (2 right )}}}right)^{frac{1}{log{left (6 right )}}} right )}$$
=
$$log{left (left(576 cdot 3^{frac{2}{log{left (2 right )}}}right)^{frac{1}{log{left (6 right )}}} right )}$$
=
5.31658005761360
Численный ответ
x1 = 2.431189975835672
y1 = 5.316580057613599