Correct Answer - D
We have,
`"log"_(2) (x+5) = 6-x rArr x + 5 = 2^(6-x)`
In order to find the values of x satisfying the above equation,let us consider the graphs of the functions `y = x + 5" and " y = 2^(6-x)`
We observe that the two curves intersect at exactly one point.
Hence, the given equation has exactly one solution.
ALITER By trial and error method, we observe that x = 3 is the solution of `x + 5 = 2^(6-x)`