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y=lnx/y la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
    log(x)
y = ------
      y
y=log⁡(x)yy = \frac{\log{\left(x \right)}}{y}
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Gráfica
Respuesta rápida [src] 
          _____________________                                     _____________________                             
       4 /    2         2          /atan2(arg(x), log(|x|))\     4 /    2         2          /atan2(arg(x), log(|x|))\
y1 = - \/  arg (x) + log (|x|) *cos|-----------------------| - I*\/  arg (x) + log (|x|) *sin|-----------------------|
                                   \           2           /                                 \           2           /
y1=−ilog⁡(∣x∣)2+arg⁡2(x)4sin⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)−log⁡(∣x∣)2+arg⁡2(x)4cos⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)y_{1} = - i \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} 
        _____________________                                     _____________________                             
     4 /    2         2          /atan2(arg(x), log(|x|))\     4 /    2         2          /atan2(arg(x), log(|x|))\
y2 = \/  arg (x) + log (|x|) *cos|-----------------------| + I*\/  arg (x) + log (|x|) *sin|-----------------------|
                                 \           2           /                                 \           2           /
y2=ilog⁡(∣x∣)2+arg⁡2(x)4sin⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)+log⁡(∣x∣)2+arg⁡2(x)4cos⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)y_{2} = i \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} 
y2 = i*(log(|x|)^2 + arg(x)^2)^(1/4)*sin(atan2(arg(x, log(|x|))/2) + (log(|x|)^2 + arg(x)^2)^(1/4)*cos(atan2(arg(x), log(|x|))/2))
Suma y producto de raíces [src] 
suma
     _____________________                                     _____________________                                   _____________________                                     _____________________                             
  4 /    2         2          /atan2(arg(x), log(|x|))\     4 /    2         2          /atan2(arg(x), log(|x|))\   4 /    2         2          /atan2(arg(x), log(|x|))\     4 /    2         2          /atan2(arg(x), log(|x|))\
- \/  arg (x) + log (|x|) *cos|-----------------------| - I*\/  arg (x) + log (|x|) *sin|-----------------------| + \/  arg (x) + log (|x|) *cos|-----------------------| + I*\/  arg (x) + log (|x|) *sin|-----------------------|
                              \           2           /                                 \           2           /                               \           2           /                                 \           2           /
(−ilog⁡(∣x∣)2+arg⁡2(x)4sin⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)−log⁡(∣x∣)2+arg⁡2(x)4cos⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2))+(ilog⁡(∣x∣)2+arg⁡2(x)4sin⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)+log⁡(∣x∣)2+arg⁡2(x)4cos⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2))\left(- i \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)}\right) 
=
0
00 
producto
/     _____________________                                     _____________________                             \ /   _____________________                                     _____________________                             \
|  4 /    2         2          /atan2(arg(x), log(|x|))\     4 /    2         2          /atan2(arg(x), log(|x|))\| |4 /    2         2          /atan2(arg(x), log(|x|))\     4 /    2         2          /atan2(arg(x), log(|x|))\|
|- \/  arg (x) + log (|x|) *cos|-----------------------| - I*\/  arg (x) + log (|x|) *sin|-----------------------||*|\/  arg (x) + log (|x|) *cos|-----------------------| + I*\/  arg (x) + log (|x|) *sin|-----------------------||
\                              \           2           /                                 \           2           // \                            \           2           /                                 \           2           //
(−ilog⁡(∣x∣)2+arg⁡2(x)4sin⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)−log⁡(∣x∣)2+arg⁡2(x)4cos⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2))(ilog⁡(∣x∣)2+arg⁡2(x)4sin⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2)+log⁡(∣x∣)2+arg⁡2(x)4cos⁡(atan2⁡(arg⁡(x),log⁡(∣x∣))2))\left(- i \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)}\right) 
=
    _____________________                           
   /    2         2        I*atan2(arg(x), log(|x|))
-\/  arg (x) + log (|x|) *e
−log⁡(∣x∣)2+arg⁡2(x)eiatan2⁡(arg⁡(x),log⁡(∣x∣))- \sqrt{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} e^{i \operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}} 
-sqrt(arg(x)^2 + log(|x|)^2)*exp(i*atan2(arg(x), log(|x|)))
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