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Between which two integers does x lie when 2ˣ = 14

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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.

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