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3^log3^7-x=5 equation

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Numerical solution:

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The solution

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    7           
 log (3)        
3        - x = 5
$$- x + 3^{\log{\left(3 \right)}^{7}} = 5$$
Detail solution
Given the linear equation:
3^log(3)^7-x = 5

Expand brackets in the left part
3^log3^7-x = 5

Divide both parts of the equation by (3^(log(3)^7) - x)/x
x = 5 / ((3^(log(3)^7) - x)/x)

We get the answer: x = -5 + 3^(log(3)^7)
The graph
Rapid solution [src]
              7   
           log (3)
x1 = -5 + 3       
$$x_{1} = -5 + 3^{\log{\left(3 \right)}^{7}}$$
x1 = -5 + 3^(log(3)^7)
Sum and product of roots [src]
sum
         7   
      log (3)
-5 + 3       
$$-5 + 3^{\log{\left(3 \right)}^{7}}$$
=
         7   
      log (3)
-5 + 3       
$$-5 + 3^{\log{\left(3 \right)}^{7}}$$
product
         7   
      log (3)
-5 + 3       
$$-5 + 3^{\log{\left(3 \right)}^{7}}$$
=
         7   
      log (3)
-5 + 3       
$$-5 + 3^{\log{\left(3 \right)}^{7}}$$
-5 + 3^(log(3)^7)
Numerical answer [src]
x1 = 3.34823416225583
x1 = 3.34823416225583