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(x)+1=0\log{\left(x \right)} + 1 = 0
Detail solution
Given the equation
log(x)+1=0\log{\left(x \right)} + 1 = 0
log(x)=1\log{\left(x \right)} = -1
This equation is of the form:
log(v)=p

By definition log
v=e^p

then
x=e11x = e^{- 1^{-1}}
simplify
x=e1x = e^{-1}
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-1010
Rapid solution [src]
      -1
x1 = e  
x1=e1x_{1} = e^{-1}
x1 = exp(-1)
Sum and product of roots [src]
sum
 -1
e  
e1e^{-1}
=
 -1
e  
e1e^{-1}
product
 -1
e  
e1e^{-1}
=
 -1
e  
e1e^{-1}
exp(-1)
Numerical answer [src]
x1 = 0.367879441171442
x1 = 0.367879441171442
The graph
log(x)+1=0 equation