If log₂ 8 + log₂ 4 = log₂ x, find x.
A12
B32CORRECT
C64
D16
GCEFurther MathematicsSurds, Indices and Logarithms2019
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Why the answer is B, and why the others tempt you.
log₂ 8 = 3 and log₂ 4 = 2, so log₂ 8 + log₂ 4 = log₂(8 × 4) = log₂ 32. Therefore x = 32. The product rule of logarithms states log_a m + log_a n = log_a(mn).
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