GCEMathematicsNumber and Numeration2019

If $\log_x 64 = 3$, find the value of $x$.

A2
B4CORRECT
C8
D16
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Why the answer is B, and why the others tempt you.
From log_x 64 = 3, we have x³ = 64. Taking the cube root of both sides: x = ∛64 = 4. Checking: 4³ = 64 ✓. Option A (2) gives 2³ = 8, not 64; option C (8) gives 8³ = 512, not 64.
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