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log(x^2)(16)+log2x(8)=2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   / 2\                    
log\x /*16 + log(2*x)*8 = 2
8log⁡(2x)+16log⁡(x2)=28 \log{\left(2 x \right)} + 16 \log{\left(x^{2} \right)} = 2
Simplificar
Gráfica
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-500500
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
                                                      ___________                                                  ___________      
 4/5  1/20     / 4/5    4/5   ___\  1/20      3/10   /       ___   1/20   /   4/5    4/5   ___\  1/20      3/10   /       ___   1/20
2   *e         \2    + 2   *\/ 5 /*e       I*2    *\/  5 - \/ 5  *e       \- 2    - 2   *\/ 5 /*e       I*2    *\/  5 - \/ 5  *e    
---------- + - ------------------------- - ---------------------------- + --------------------------- + ----------------------------
    2                      8                            4                              8                             4
(245e1202+(−(245+2455)e1208−2310i5−5e1204))+((−2455−245)e1208+2310i5−5e1204)\left(\frac{2^{\frac{4}{5}} e^{\frac{1}{20}}}{2} + \left(- \frac{\left(2^{\frac{4}{5}} + 2^{\frac{4}{5}} \sqrt{5}\right) e^{\frac{1}{20}}}{8} - \frac{2^{\frac{3}{10}} i \sqrt{5 - \sqrt{5}} e^{\frac{1}{20}}}{4}\right)\right) + \left(\frac{\left(- 2^{\frac{4}{5}} \sqrt{5} - 2^{\frac{4}{5}}\right) e^{\frac{1}{20}}}{8} + \frac{2^{\frac{3}{10}} i \sqrt{5 - \sqrt{5}} e^{\frac{1}{20}}}{4}\right) 
=
 4/5  1/20   / 4/5    4/5   ___\  1/20   /   4/5    4/5   ___\  1/20
2   *e       \2    + 2   *\/ 5 /*e       \- 2    - 2   *\/ 5 /*e    
---------- - ------------------------- + ---------------------------
    2                    8                            8
−(245+2455)e1208+(−2455−245)e1208+245e1202- \frac{\left(2^{\frac{4}{5}} + 2^{\frac{4}{5}} \sqrt{5}\right) e^{\frac{1}{20}}}{8} + \frac{\left(- 2^{\frac{4}{5}} \sqrt{5} - 2^{\frac{4}{5}}\right) e^{\frac{1}{20}}}{8} + \frac{2^{\frac{4}{5}} e^{\frac{1}{20}}}{2} 
producto
           /                                         ___________      \ /                                         ___________      \
 4/5  1/20 |  / 4/5    4/5   ___\  1/20      3/10   /       ___   1/20| |/   4/5    4/5   ___\  1/20      3/10   /       ___   1/20|
2   *e     |  \2    + 2   *\/ 5 /*e       I*2    *\/  5 - \/ 5  *e    | |\- 2    - 2   *\/ 5 /*e       I*2    *\/  5 - \/ 5  *e    |
----------*|- ------------------------- - ----------------------------|*|--------------------------- + ----------------------------|
    2      \              8                            4              / \             8                             4              /
245e1202(−(245+2455)e1208−2310i5−5e1204)((−2455−245)e1208+2310i5−5e1204)\frac{2^{\frac{4}{5}} e^{\frac{1}{20}}}{2} \left(- \frac{\left(2^{\frac{4}{5}} + 2^{\frac{4}{5}} \sqrt{5}\right) e^{\frac{1}{20}}}{8} - \frac{2^{\frac{3}{10}} i \sqrt{5 - \sqrt{5}} e^{\frac{1}{20}}}{4}\right) \left(\frac{\left(- 2^{\frac{4}{5}} \sqrt{5} - 2^{\frac{4}{5}}\right) e^{\frac{1}{20}}}{8} + \frac{2^{\frac{3}{10}} i \sqrt{5 - \sqrt{5}} e^{\frac{1}{20}}}{4}\right) 
=
 2/5  3/20
2   *e    
----------
    2
225e3202\frac{2^{\frac{2}{5}} e^{\frac{3}{20}}}{2} 
2^(2/5)*exp(3/20)/2
Respuesta rápida [src] 
      4/5  1/20
     2   *e    
x1 = ----------
         2
x1=245e1202x_{1} = \frac{2^{\frac{4}{5}} e^{\frac{1}{20}}}{2} 
                                              ___________      
       / 4/5    4/5   ___\  1/20      3/10   /       ___   1/20
       \2    + 2   *\/ 5 /*e       I*2    *\/  5 - \/ 5  *e    
x2 = - ------------------------- - ----------------------------
                   8                            4
x2=−(245+2455)e1208−2310i5−5e1204x_{2} = - \frac{\left(2^{\frac{4}{5}} + 2^{\frac{4}{5}} \sqrt{5}\right) e^{\frac{1}{20}}}{8} - \frac{2^{\frac{3}{10}} i \sqrt{5 - \sqrt{5}} e^{\frac{1}{20}}}{4} 
                                              ___________      
     /   4/5    4/5   ___\  1/20      3/10   /       ___   1/20
     \- 2    - 2   *\/ 5 /*e       I*2    *\/  5 - \/ 5  *e    
x3 = --------------------------- + ----------------------------
                  8                             4
x3=(−2455−245)e1208+2310i5−5e1204x_{3} = \frac{\left(- 2^{\frac{4}{5}} \sqrt{5} - 2^{\frac{4}{5}}\right) e^{\frac{1}{20}}}{8} + \frac{2^{\frac{3}{10}} i \sqrt{5 - \sqrt{5}} e^{\frac{1}{20}}}{4} 
x3 = (-2^(4/5)*sqrt(5) - 2^(4/5))*exp(1/20)/8 + 2^(3/10)*i*sqrt(5 - sqrt(5))*exp(1/20)/4
Respuesta numérica [src] 
x1 = 0.915184645127082
x2 = -0.740399930898815 - 0.537932037530219*i
x3 = -0.740399930898815 + 0.537932037530219*i
x3 = -0.740399930898815 + 0.537932037530219*i
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