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sqrt(3-5^x)*(2*(5^x)+8*(5^-x)-17)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   ________                        
  /      x  /   x      -x     \    
\/  3 - 5  *\2*5  + 8*5   - 17/ = 0
35x((25x+85x)17)=0\sqrt{3 - 5^{x}} \left(\left(2 \cdot 5^{x} + 8 \cdot 5^{- x}\right) - 17\right) = 0
Gráfica
05-15-10-51015500000000-250000000
Suma y producto de raíces [src]
suma
  log(2)   3*log(2)   log(3)
- ------ + -------- + ------
  log(5)    log(5)    log(5)
log(3)log(5)+(log(2)log(5)+3log(2)log(5))\frac{\log{\left(3 \right)}}{\log{\left(5 \right)}} + \left(- \frac{\log{\left(2 \right)}}{\log{\left(5 \right)}} + \frac{3 \log{\left(2 \right)}}{\log{\left(5 \right)}}\right)
=
log(3)   2*log(2)
------ + --------
log(5)    log(5) 
log(3)log(5)+2log(2)log(5)\frac{\log{\left(3 \right)}}{\log{\left(5 \right)}} + \frac{2 \log{\left(2 \right)}}{\log{\left(5 \right)}}
producto
-log(2)  3*log(2) log(3)
--------*--------*------
 log(5)   log(5)  log(5)
log(2)log(5)3log(2)log(5)log(3)log(5)- \frac{\log{\left(2 \right)}}{\log{\left(5 \right)}} \frac{3 \log{\left(2 \right)}}{\log{\left(5 \right)}} \frac{\log{\left(3 \right)}}{\log{\left(5 \right)}}
=
      2          
-3*log (2)*log(3)
-----------------
        3        
     log (5)     
3log(2)2log(3)log(5)3- \frac{3 \log{\left(2 \right)}^{2} \log{\left(3 \right)}}{\log{\left(5 \right)}^{3}}
-3*log(2)^2*log(3)/log(5)^3
Respuesta rápida [src]
     -log(2) 
x1 = --------
      log(5) 
x1=log(2)log(5)x_{1} = - \frac{\log{\left(2 \right)}}{\log{\left(5 \right)}}
     3*log(2)
x2 = --------
      log(5) 
x2=3log(2)log(5)x_{2} = \frac{3 \log{\left(2 \right)}}{\log{\left(5 \right)}}
     log(3)
x3 = ------
     log(5)
x3=log(3)log(5)x_{3} = \frac{\log{\left(3 \right)}}{\log{\left(5 \right)}}
x3 = log(3)/log(5)
Respuesta numérica [src]
x1 = -0.430676558073393
x2 = 1.29202967422018
x3 = 0.682606194485985
x3 = 0.682606194485985