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log(x-3)=2

log(x-3)=2 equation

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Numerical solution:

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The solution

You have entered [src] 
log(x - 3) = 2
log⁡(x−3)=2\log{\left(x - 3 \right)} = 2
Simplify
Detail solution
Given the equation
log⁡(x−3)=2\log{\left(x - 3 \right)} = 2
log⁡(x−3)=2\log{\left(x - 3 \right)} = 2
This equation is of the form:
log(v)=p

By definition log
v=e^p

then
x−3=e21x - 3 = e^{\frac{2}{1}}
simplify
x−3=e2x - 3 = e^{2}
x=3+e2x = 3 + e^{2}
The graph
2.55.07.510.012.515.017.520.022.525.027.530.0-1010
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
          2
x1 = 3 + e
x1=3+e2x_{1} = 3 + e^{2} 
x1 = 3 + exp(2)
Sum and product of roots [src] 
sum
     2
3 + e
3+e23 + e^{2} 
=
     2
3 + e
3+e23 + e^{2} 
product
     2
3 + e
3+e23 + e^{2} 
=
     2
3 + e
3+e23 + e^{2} 
3 + exp(2)
Numerical answer [src] 
x1 = 10.3890560989307
x1 = 10.3890560989307
The graph
log(x-3)=2 equation
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