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Log22x-4log2x-12=0 equation

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Numerical solution:

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The solution

You have entered [src]
log(22*x) - 4*log(2*x) - 12 = 0
$$\left(- 4 \log{\left(2 x \right)} + \log{\left(22 x \right)}\right) - 12 = 0$$
The graph
Rapid solution [src]
     3 ____  -4
     \/ 11 *e  
x1 = ----------
         2     
$$x_{1} = \frac{\sqrt[3]{11}}{2 e^{4}}$$
x1 = 11^(1/3)*exp(-4)/2
Sum and product of roots [src]
sum
3 ____  -4
\/ 11 *e  
----------
    2     
$$\frac{\sqrt[3]{11}}{2 e^{4}}$$
=
3 ____  -4
\/ 11 *e  
----------
    2     
$$\frac{\sqrt[3]{11}}{2 e^{4}}$$
product
3 ____  -4
\/ 11 *e  
----------
    2     
$$\frac{\sqrt[3]{11}}{2 e^{4}}$$
=
3 ____  -4
\/ 11 *e  
----------
    2     
$$\frac{\sqrt[3]{11}}{2 e^{4}}$$
11^(1/3)*exp(-4)/2
Numerical answer [src]
x1 = 0.020366808117301
x1 = 0.020366808117301