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log_2^2(x)-5*log_2(x)+6=0 equation

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Numerical solution:

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The solution

You have entered [src]
log(x)     log(x)        
------ - 5*------ + 6 = 0
log(4)     log(2)        
$$\left(- 5 \frac{\log{\left(x \right)}}{\log{\left(2 \right)}} + \frac{\log{\left(x \right)}}{\log{\left(4 \right)}}\right) + 6 = 0$$
The graph
Sum and product of roots [src]
sum
  3 ___
2*\/ 2 
$$2 \sqrt[3]{2}$$
=
  3 ___
2*\/ 2 
$$2 \sqrt[3]{2}$$
product
  3 ___
2*\/ 2 
$$2 \sqrt[3]{2}$$
=
  3 ___
2*\/ 2 
$$2 \sqrt[3]{2}$$
2*2^(1/3)
Rapid solution [src]
       3 ___
x1 = 2*\/ 2 
$$x_{1} = 2 \sqrt[3]{2}$$
x1 = 2*2^(1/3)
Numerical answer [src]
x1 = 2.51984209978975
x1 = 2.51984209978975