Question

Between which two integers does x lie when '2 to the power of x = 50'?

A) x lies between 3 and 4.
B) x lies between 5 and 6.
C) x lies between 6 and 7.
D) Information not provided.

Answer 1

The value of x when 2 to the power of x equals 50 lies between 5 and 6.

Step-by-step explanation:

To find the range of values for x when 2 to the power of x equals 50, we need to solve the equation 2^x = 50 for x. Taking the logarithm of both sides, we get x = log2(50). Using a calculator to evaluate log2(50), we find that x ≈ 5.6438. Since x lies between 5 and 6, the correct answer is B) x lies between 5 and 6.