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log_8(4^(x^2-1)-1)+2/3=log_8(2^(x^2+2)-7) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   /  2        \          /  2        \
   | x  - 1    |          | x  + 2    |
log\4       - 1/   2   log\2       - 7/
---------------- + - = ----------------
     log(8)        3        log(8)
log⁡(4x2−1−1)log⁡(8)+23=log⁡(2x2+2−7)log⁡(8)\frac{\log{\left(4^{x^{2} - 1} - 1 \right)}}{\log{\left(8 \right)}} + \frac{2}{3} = \frac{\log{\left(2^{x^{2} + 2} - 7 \right)}}{\log{\left(8 \right)}}
Simplificar
Gráfica
02468-10-8-6-4-210-100100
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = 0
x1=0x_{1} = 0 
        ________ 
     -\/ log(3)  
x2 = ------------
        ________ 
      \/ log(2)
x2=−log⁡(3)log⁡(2)x_{2} = - \frac{\sqrt{\log{\left(3 \right)}}}{\sqrt{\log{\left(2 \right)}}} 
       ________
     \/ log(3) 
x3 = ----------
       ________
     \/ log(2)
x3=log⁡(3)log⁡(2)x_{3} = \frac{\sqrt{\log{\left(3 \right)}}}{\sqrt{\log{\left(2 \right)}}} 
x3 = sqrt(log(3))/sqrt(log(2))
Suma y producto de raíces [src] 
suma
    ________     ________
  \/ log(3)    \/ log(3) 
- ---------- + ----------
    ________     ________
  \/ log(2)    \/ log(2)
−log⁡(3)log⁡(2)+log⁡(3)log⁡(2)- \frac{\sqrt{\log{\left(3 \right)}}}{\sqrt{\log{\left(2 \right)}}} + \frac{\sqrt{\log{\left(3 \right)}}}{\sqrt{\log{\left(2 \right)}}} 
=
0
00 
producto
     ________    ________
  -\/ log(3)   \/ log(3) 
0*------------*----------
     ________    ________
   \/ log(2)   \/ log(2)
log⁡(3)log⁡(2)0(−log⁡(3)log⁡(2))\frac{\sqrt{\log{\left(3 \right)}}}{\sqrt{\log{\left(2 \right)}}} 0 \left(- \frac{\sqrt{\log{\left(3 \right)}}}{\sqrt{\log{\left(2 \right)}}}\right) 
=
0
00 
0
Respuesta numérica [src] 
x1 = -1.25895293824716
x2 = 0.0
x3 = 1.25895293824716
x3 = 1.25895293824716
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