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Problem 10 - Entrance Test

If log2(x) + log4(x) = 3, what is the value of x?

Correct: B

Using the change of base formula, log4(x) = log2(x) / log2(4) = log2(x) / 2. So, log2(x) + log2(x)/2 = 3. (3/2)log2(x) = 3, which means log2(x) = 2. Thus, x = 2^2 = 4.