`D = RR`
`log_{2} (x^2 + x + 2) = 4`
`-> x^2 + x + 2 = 2^4 = 16`
`-> x^2 + x - 14 = 0`
`->` \(\left[ \begin{array}{l}x = \dfrac{-1 + \sqrt{57}}{2}\\x = \dfrac{-1 - \sqrt{57}}{2}\end{array} \right.\)
`D = (-1/2; +infty)`
`log_{2} (2x + 1) = 3`
`-> 2x + 1 = 2^3 = 8`
`-> 2x = 7`
`-> x = 7/2`