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ln(cos(1.55-0.31x))=-4.109 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   /   /31   31*x\\   -4109 
log|cos|-- - ----|| = ------
   \   \20   100 //    1000
log⁡(cos⁡(3120−31x100))=−41091000\log{\left(\cos{\left(\frac{31}{20} - \frac{31 x}{100} \right)} \right)} = - \frac{4109}{1000}
Simplificar
Gráfica
0-80-60-40-2020406080-100100-1010
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
                 / -4109 \
                 | ------|
                 |  1000 |
         100*acos\e      /
x1 = 5 + -----------------
                 31
x1=5+100acos⁡(e−41091000)31x_{1} = 5 + \frac{100 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)}}{31} 
                 / -4109 \         
                 | ------|         
                 |  1000 |         
         100*acos\e      /   200*pi
x2 = 5 - ----------------- + ------
                 31            31
x2=−100acos⁡(e−41091000)31+5+200π31x_{2} = - \frac{100 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)}}{31} + 5 + \frac{200 \pi}{31} 
x2 = -100*acos(exp(-4109/1000))/31 + 5 + 200*pi/31
Suma y producto de raíces [src] 
suma
            / -4109 \               / -4109 \         
            | ------|               | ------|         
            |  1000 |               |  1000 |         
    100*acos\e      /       100*acos\e      /   200*pi
5 + ----------------- + 5 - ----------------- + ------
            31                      31            31
(5+100acos⁡(e−41091000)31)+(−100acos⁡(e−41091000)31+5+200π31)\left(5 + \frac{100 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)}}{31}\right) + \left(- \frac{100 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)}}{31} + 5 + \frac{200 \pi}{31}\right) 
=
     200*pi
10 + ------
       31
10+200π3110 + \frac{200 \pi}{31} 
producto
/            / -4109 \\ /            / -4109 \         \
|            | ------|| |            | ------|         |
|            |  1000 || |            |  1000 |         |
|    100*acos\e      /| |    100*acos\e      /   200*pi|
|5 + -----------------|*|5 - ----------------- + ------|
\            31       / \            31            31  /
(5+100acos⁡(e−41091000)31)(−100acos⁡(e−41091000)31+5+200π31)\left(5 + \frac{100 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)}}{31}\right) \left(- \frac{100 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)}}{31} + 5 + \frac{200 \pi}{31}\right) 
=
   /            / -4109 \\ /            / -4109 \        \
   |            | ------|| |            | ------|        |
   |            |  1000 || |            |  1000 |        |
25*\31 + 20*acos\e      //*\31 - 20*acos\e      / + 40*pi/
----------------------------------------------------------
                           961
25(31+20acos⁡(e−41091000))(−20acos⁡(e−41091000)+31+40π)961\frac{25 \left(31 + 20 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)}\right) \left(- 20 \operatorname{acos}{\left(e^{- \frac{4109}{1000}} \right)} + 31 + 40 \pi\right)}{961} 
25*(31 + 20*acos(exp(-4109/1000)))*(31 - 20*acos(exp(-4109/1000)) + 40*pi)/961
Respuesta numérica [src] 
x1 = 20.2542384174099
x2 = 30.2824409837488
x3 = -0.014101283169456
x4 = 10.0141012831695
x4 = 10.0141012831695
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