Question 14 • Mathematics III
Rewrite the logarithmic equation in exponential form: log₂(3x − 7) = 3 means 3x − 7 = 2³ = 8. Solving gives 3x = 15, so x = 5; this satisfies the logarithm’s domain because 3(5) − 7 is positive. The solution is 5, choice B.
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