What is the least integer value in the solution set to log3(8x – 37) > 5?

Because the base 3 is greater than 1, log₃(8x − 37) > 5 is equivalent to 8x − 37 > 3⁵ = 243. Solving gives 8x > 280, so x > 35. The least integer greater than 35 is 36, choice C.

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