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4^x-2*x-3-15=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
 x                   
4  - 2*x - 3 - 15 = 0
((4x−2x)−3)−15=0\left(\left(4^{x} - 2 x\right) - 3\right) - 15 = 0
Simplificar
Gráfica
05-25-20-15-10-51015-2500000025000000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
           /-log(2) \
          W|--------|
           \ 262144 /
x1 = -9 - -----------
            2*log(2)
x1=−9−W(−log⁡(2)262144)2log⁡(2)x_{1} = -9 - \frac{W\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}} 
           /-log(2)     \
          W|--------, -1|
           \ 262144     /
x2 = -9 - ---------------
              2*log(2)
x2=−9−W−1(−log⁡(2)262144)2log⁡(2)x_{2} = -9 - \frac{W_{-1}\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}} 
x2 = -9 - LambertW(-log(2/262144, -1)/(2*log(2)))
Suma y producto de raíces [src] 
suma
      /-log(2) \         /-log(2)     \
     W|--------|        W|--------, -1|
      \ 262144 /         \ 262144     /
-9 - ----------- + -9 - ---------------
       2*log(2)             2*log(2)
(−9−W(−log⁡(2)262144)2log⁡(2))+(−9−W−1(−log⁡(2)262144)2log⁡(2))\left(-9 - \frac{W\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}}\right) + \left(-9 - \frac{W_{-1}\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}}\right) 
=
       /-log(2) \    /-log(2)     \
      W|--------|   W|--------, -1|
       \ 262144 /    \ 262144     /
-18 - ----------- - ---------------
        2*log(2)        2*log(2)
−18−W(−log⁡(2)262144)2log⁡(2)−W−1(−log⁡(2)262144)2log⁡(2)-18 - \frac{W\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}} - \frac{W_{-1}\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}} 
producto
/      /-log(2) \\ /      /-log(2)     \\
|     W|--------|| |     W|--------, -1||
|      \ 262144 /| |      \ 262144     /|
|-9 - -----------|*|-9 - ---------------|
\       2*log(2) / \         2*log(2)   /
(−9−W(−log⁡(2)262144)2log⁡(2))(−9−W−1(−log⁡(2)262144)2log⁡(2))\left(-9 - \frac{W\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}}\right) \left(-9 - \frac{W_{-1}\left(- \frac{\log{\left(2 \right)}}{262144}\right)}{2 \log{\left(2 \right)}}\right) 
=
/             /-log(2) \\ /             /-log(2)     \\
|18*log(2) + W|--------||*|18*log(2) + W|--------, -1||
\             \ 262144 // \             \ 262144     //
-------------------------------------------------------
                            2                          
                       4*log (2)
(W(−log⁡(2)262144)+18log⁡(2))(W−1(−log⁡(2)262144)+18log⁡(2))4log⁡(2)2\frac{\left(W\left(- \frac{\log{\left(2 \right)}}{262144}\right) + 18 \log{\left(2 \right)}\right) \left(W_{-1}\left(- \frac{\log{\left(2 \right)}}{262144}\right) + 18 \log{\left(2 \right)}\right)}{4 \log{\left(2 \right)}^{2}} 
(18*log(2) + LambertW(-log(2)/262144))*(18*log(2) + LambertW(-log(2)/262144, -1))/(4*log(2)^2)
Respuesta numérica [src] 
x1 = 2.24564740684833
x2 = 2.24564740684831
x3 = -8.99999809264632
x3 = -8.99999809264632
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