Question

How many real number solutions does the equation 2^x = c, where c > 0 have?

A) No real solutions
B) Exactly one real solution
C) Exactly two real solutions
D) Infinitely many real solutions

Answer 1

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.