Using S(x) = log₆₄(x), what is the predicted number of stages when the input level is 256?

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25. Using S(x) = log₆₄(x), what is the predicted number of stages when the input level is 256? a. 5 b. 2 c. 4 d. 3

SnapAndSolve AI · Accepted Answer

Answer: To find the predicted number of stages, we need to calculate S(256) = log64(256).We know that 64 is 26 and 256 is 28. Therefore, log64(256) = log26(28).Using the change of base formula, this becomes (8/6) = 4/3.Since 4/3 is not an integer, we need to find the closest integer option. The closest option is d. 3.

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Using S(x) = log<sub>64</sub>(x), what is the predicted number of stages when the input level is 256?

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