Following is the problem today I encountered:

*for what values of k that the equation 10 - 8(0.5)^x = k has (i) one solution and (ii) no solutions?*randomly I put values and checked; for many values of k there is one solution. For many values of k there is no solution.

For example I tried with 0, 1, 2, 3, etc.

It appears to be very crude and I am not able pin point rather, concisely or precisely say, this is the solution.

How to solve such type of problems?

guide me.

with regards,

Aranga