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logx1/4=-2 equation

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Numerical solution:

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The solution

You have entered [src] 
log(x)     
------ = -2
  4
log⁡(x)4=−2\frac{\log{\left(x \right)}}{4} = -2
Simplify
Detail solution
Given the equation
log⁡(x)4=−2\frac{\log{\left(x \right)}}{4} = -2
log⁡(x)4=−2\frac{\log{\left(x \right)}}{4} = -2
Let's divide both parts of the equation by the multiplier of log =1/4
log⁡(x)=−8\log{\left(x \right)} = -8
This equation is of the form:
log(v)=p

By definition log
v=e^p

then
     -2 
     ---
     1/4
x = e

simplify
x=e−8x = e^{-8}
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.02.5-2.5
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
      -8
x1 = e
x1=e−8x_{1} = e^{-8} 
x1 = exp(-8)
Sum and product of roots [src] 
sum
 -8
e
e−8e^{-8} 
=
 -8
e
e−8e^{-8} 
product
 -8
e
e−8e^{-8} 
=
 -8
e
e−8e^{-8} 
exp(-8)
Numerical answer [src] 
x1 = 0.000335462627902512
x1 = 0.000335462627902512
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