Final answer:
The equation 2^x = c, where c > 0, has exactly one real solution.
Step-by-step explanation:
To determine the number of real number solutions for the equation 2x = c, where c > 0, we need to analyze the possible values of x.
Since 2x is an exponential function, it is always positive. In other words, the equation 2x = c can only have real number solutions if c is greater than 0.
Therefore, the equation 2x = c, where c > 0, has exactly one real solution for any positive value of c.