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5^x^-1=2^x la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Ha introducido [src]

x ___    x
\/ 5  = 2

5^{\frac{1}{x}} = 2^{x}

Simplificar

Suma y producto de raíces [src]

suma

    ________     ________
  \/ log(5)    \/ log(5) 
- ---------- + ----------
    ________     ________
  \/ log(2)    \/ log(2)

- \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}} + \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}

0

producto

   ________    ________
-\/ log(5)   \/ log(5) 
------------*----------
   ________    ________
 \/ log(2)   \/ log(2)

- \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}} \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}

-log(5) 
--------
 log(2)

- \frac{\log{\left(5 \right)}}{\log{\left(2 \right)}}

-log(5)/log(2)

Respuesta rápida [src]

        ________ 
     -\/ log(5)  
x1 = ------------
        ________ 
      \/ log(2)

x_{1} = - \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}

       ________
     \/ log(5) 
x2 = ----------
       ________
     \/ log(2)

x_{2} = \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}

x2 = sqrt(log(5))/sqrt(log(2))

Respuesta numérica [src]

x1 = -1.52378741787933

x2 = 1.52378741787933

x2 = 1.52378741787933