Final answer:
The positive value of x that satisfies the equation log₂(x) = 5 is x = 32.
Step-by-step explanation:
To find the value of x, we need to understand that the logarithm base 2 of a number is the exponent to which 2 must be raised to get that number. In this case, log₂(x) = 5 means 2⁵ = x. Therefore, x = 32 is the solution.
In mathematical terms, the logarithmic equation can be expressed as 2⁵ = x. Evaluating 2⁵ gives us the final answer x = 32. This means that 32 is the positive value for which log₂(32) equals 5.
In summary, the solution to log₂(x) = 5 is x = 32. This is because 2 raised to the power of 5 is equal to 32.