Final answer:
To find the integer values between which x lies, use logarithms to solve the equation 2ˣ = 14. The value of x is approximately 3.8074, so x lies between the integers 3 and 4.
Step-by-step explanation:
To find the integer values between which x lies, we need to solve the equation 2ˣ = 14 for x.
Taking the logarithm base 2 of both sides, we get x = log2(14).
Using a calculator, we find that x ≈ 3.8074. Therefore, x lies between the integers 3 and 4.