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2^x=2*x+8

2^x=2*x+8 equation

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Numerical solution:

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The solution

You have entered [src] 
 x          
2  = 2*x + 8
2x=2x+82^{x} = 2 x + 8
Simplify
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-100100
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
          /-log(2) \
         W|--------|
          \   32   /
4 + -4 - -----------
            log(2)
(4)+(−4−W(−log⁡(2)32)log⁡(2))\left(4\right) + \left(-4 - \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}\right) 
=
  /-log(2) \ 
-W|--------| 
  \   32   / 
-------------
    log(2)
−W(−log⁡(2)32)log⁡(2)- \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}
Simplify 
product
          /-log(2) \
         W|--------|
          \   32   /
4 * -4 - -----------
            log(2)
(4)∗(−4−W(−log⁡(2)32)log⁡(2))\left(4\right) * \left(-4 - \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}\right) 
=
         /-log(2) \
      4*W|--------|
         \   32   /
-16 - -------------
          log(2)
−16−4W(−log⁡(2)32)log⁡(2)-16 - \frac{4 W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}
Simplify
Rapid solution [src] 
x_1 = 4
x1=4x_{1} = 4
Simplify 
            /-log(2) \
           W|--------|
            \   32   /
x_2 = -4 - -----------
              log(2)
x2=−4−W(−log⁡(2)32)log⁡(2)x_{2} = -4 - \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}
Simplify
Numerical answer [src] 
x1 = -3.96805022061857
x2 = 4.0
x2 = 4.0
The graph
2^x=2*x+8 equation
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