Mister Exam

log(x)+1=0 equation

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Numerical solution:

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The solution

You have entered [src]
log(x) + 1 = 0
$$\log{\left(x \right)} + 1 = 0$$
Detail solution
Given the equation
$$\log{\left(x \right)} + 1 = 0$$
$$\log{\left(x \right)} = -1$$
This equation is of the form:
log(v)=p

By definition log
v=e^p

then
$$x = e^{- 1^{-1}}$$
simplify
$$x = e^{-1}$$
The graph
Rapid solution [src]
      -1
x1 = e  
$$x_{1} = e^{-1}$$
x1 = exp(-1)
Sum and product of roots [src]
sum
 -1
e  
$$e^{-1}$$
=
 -1
e  
$$e^{-1}$$
product
 -1
e  
$$e^{-1}$$
=
 -1
e  
$$e^{-1}$$
exp(-1)
Numerical answer [src]
x1 = 0.367879441171442
x1 = 0.367879441171442
The graph
log(x)+1=0 equation