Which logarithmic equation has the same solution as x minus 4 is equal to 2 cubed ?

The equation is x − 4 = 2³, which has the exponential form 2³ = x − 4. Using the equivalence aᵇ = c ⇔ logₐ(c) = b, this becomes log₂(x − 4) = 3. So the matching equation is choice B, “log base 2 of (x − 4) equals 3.”

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