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log(x-7)25=2 equation

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Numerical solution:

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The solution

You have entered [src] 
log(x - 7)*25 = 2
25log⁡(x−7)=225 \log{\left(x - 7 \right)} = 2
Simplify
Detail solution
Given the equation
25log⁡(x−7)=225 \log{\left(x - 7 \right)} = 2
25log⁡(x−7)=225 \log{\left(x - 7 \right)} = 2
Let's divide both parts of the equation by the multiplier of log =25
log⁡(x−7)=225\log{\left(x - 7 \right)} = \frac{2}{25}
This equation is of the form:
log(v)=p

By definition log
v=e^p

then
x−7=e225x - 7 = e^{\frac{2}{25}}
simplify
x−7=e225x - 7 = e^{\frac{2}{25}}
x=e225+7x = e^{\frac{2}{25}} + 7
The graph
-2.50.02.55.07.510.012.515.017.520.022.525.0-250250
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
     2/25
7 + e
e225+7e^{\frac{2}{25}} + 7 
=
     2/25
7 + e
e225+7e^{\frac{2}{25}} + 7 
product
     2/25
7 + e
e225+7e^{\frac{2}{25}} + 7 
=
     2/25
7 + e
e225+7e^{\frac{2}{25}} + 7 
7 + exp(2/25)
Rapid solution [src] 
          2/25
x1 = 7 + e
x1=e225+7x_{1} = e^{\frac{2}{25}} + 7 
x1 = exp(2/25) + 7
Numerical answer [src] 
x1 = 8.08328706767496
x1 = 8.08328706767496
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