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lg(x)=-2 equation

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Numerical solution:

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The solution

You have entered [src]
log(x) = -2
$$\log{\left(x \right)} = -2$$
Detail solution
Given the equation
$$\log{\left(x \right)} = -2$$
$$\log{\left(x \right)} = -2$$
This equation is of the form:
log(v)=p

By definition log
v=e^p

then
$$x = e^{- \frac{2}{1}}$$
simplify
$$x = e^{-2}$$
The graph
Rapid solution [src]
      -2
x1 = e  
$$x_{1} = e^{-2}$$
x1 = exp(-2)
Sum and product of roots [src]
sum
 -2
e  
$$e^{-2}$$
=
 -2
e  
$$e^{-2}$$
product
 -2
e  
$$e^{-2}$$
=
 -2
e  
$$e^{-2}$$
exp(-2)
Numerical answer [src]
x1 = 0.135335283236613
x1 = 0.135335283236613