Mister Exam

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2^x=6-x equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

 x        
2  = 6 - x

2^{x} = 6 - x

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

x1 = 2

x_{1} = 2

     -W(log(18446744073709551616)) + log(64)
x2 = ---------------------------------------
                      log(2)

x_{2} = \frac{- W\left(\log{\left(18446744073709551616 \right)}\right) + \log{\left(64 \right)}}{\log{\left(2 \right)}}

x2 = (-LambertW(log(18446744073709551616)) + log(64))/log(2)

Sum and product of roots [src]

sum

    -W(log(18446744073709551616)) + log(64)
2 + ---------------------------------------
                     log(2)

2 + \frac{- W\left(\log{\left(18446744073709551616 \right)}\right) + \log{\left(64 \right)}}{\log{\left(2 \right)}}

    -W(log(18446744073709551616)) + log(64)
2 + ---------------------------------------
                     log(2)

2 + \frac{- W\left(\log{\left(18446744073709551616 \right)}\right) + \log{\left(64 \right)}}{\log{\left(2 \right)}}

product

  -W(log(18446744073709551616)) + log(64)
2*---------------------------------------
                   log(2)

2 \frac{- W\left(\log{\left(18446744073709551616 \right)}\right) + \log{\left(64 \right)}}{\log{\left(2 \right)}}

2*(-W(log(18446744073709551616)) + log(64))
-------------------------------------------
                   log(2)

\frac{2 \left(- W\left(\log{\left(18446744073709551616 \right)}\right) + \log{\left(64 \right)}\right)}{\log{\left(2 \right)}}

2*(-LambertW(log(18446744073709551616)) + log(64))/log(2)

Numerical answer [src]

x1 = 2.0

x1 = 2.0

The graph