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(3^x)+x-4=0 equation

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Numerical solution:

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The solution

You have entered [src] 
 x            
3  + x - 4 = 0
(3x+x)−4=0\left(3^{x} + x\right) - 4 = 0
Simplify
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-200000200000
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 1
x1=1x_{1} = 1 
     -W(log(443426488243037769948249630619149892803)) + log(81)
x2 = ----------------------------------------------------------
                               log(3)
x2=−W(log⁡(443426488243037769948249630619149892803))+log⁡(81)log⁡(3)x_{2} = \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}} 
x2 = (-LambertW(log(443426488243037769948249630619149892803)) + log(81))/log(3)
Sum and product of roots [src] 
sum
    -W(log(443426488243037769948249630619149892803)) + log(81)
1 + ----------------------------------------------------------
                              log(3)
1+−W(log⁡(443426488243037769948249630619149892803))+log⁡(81)log⁡(3)1 + \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}} 
=
    -W(log(443426488243037769948249630619149892803)) + log(81)
1 + ----------------------------------------------------------
                              log(3)
1+−W(log⁡(443426488243037769948249630619149892803))+log⁡(81)log⁡(3)1 + \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}} 
product
-W(log(443426488243037769948249630619149892803)) + log(81)
----------------------------------------------------------
                          log(3)
−W(log⁡(443426488243037769948249630619149892803))+log⁡(81)log⁡(3)\frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}} 
=
-W(log(443426488243037769948249630619149892803)) + log(81)
----------------------------------------------------------
                          log(3)
−W(log⁡(443426488243037769948249630619149892803))+log⁡(81)log⁡(3)\frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}} 
(-LambertW(log(443426488243037769948249630619149892803)) + log(81))/log(3)
Numerical answer [src] 
x1 = 0.999999999999993
x2 = 1.0
x3 = 0.999999999999998
x4 = 0.999999999999976
x5 = 1.0
x6 = 0.999999999999929
x7 = 0.999999999999812
x8 = 1.0
x8 = 1.0
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