y=1/ln(cx) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación:
$$y = \frac{1}{\log{\left(c x \right)}}$$
cambiamos:
$$y = \frac{1}{\log{\left(c x \right)}}$$
Abrimos los paréntesis en el miembro derecho de la ecuación
y = 1/logc*x
Obtenemos la respuesta: y = 1/log(c*x)
Suma y producto de raíces
[src]
log(|c*x|) I*arg(c*x)
----------------------- - -----------------------
2 2 2 2
arg (c*x) + log (|c*x|) arg (c*x) + log (|c*x|)
$$\frac{\log{\left(\left|{c x}\right| \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}} - \frac{i \arg{\left(c x \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}}$$
log(|c*x|) I*arg(c*x)
----------------------- - -----------------------
2 2 2 2
arg (c*x) + log (|c*x|) arg (c*x) + log (|c*x|)
$$\frac{\log{\left(\left|{c x}\right| \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}} - \frac{i \arg{\left(c x \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}}$$
log(|c*x|) I*arg(c*x)
----------------------- - -----------------------
2 2 2 2
arg (c*x) + log (|c*x|) arg (c*x) + log (|c*x|)
$$\frac{\log{\left(\left|{c x}\right| \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}} - \frac{i \arg{\left(c x \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}}$$
-I*arg(c*x) + log(|c*x|)
------------------------
2 2
arg (c*x) + log (|c*x|)
$$\frac{\log{\left(\left|{c x}\right| \right)} - i \arg{\left(c x \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}}$$
(-i*arg(c*x) + log(|c*x|))/(arg(c*x)^2 + log(|c*x|)^2)
log(|c*x|) I*arg(c*x)
y1 = ----------------------- - -----------------------
2 2 2 2
arg (c*x) + log (|c*x|) arg (c*x) + log (|c*x|)
$$y_{1} = \frac{\log{\left(\left|{c x}\right| \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}} - \frac{i \arg{\left(c x \right)}}{\log{\left(\left|{c x}\right| \right)}^{2} + \arg^{2}{\left(c x \right)}}$$
y1 = log(|c*x|)/(log(|c*x|)^2 + arg(c*x)^2) - i*arg(c*x)/(log(|c*x|)^2 + arg(c*x)^2)