BECE Mathematics 2025 Paper

Concept:Any non-zero number to the power 0 is 1. Write both sides as powers of the same base (2); if $2^x = 2^n$ then $x = n$.Solution:$2^0 = 1$, so the right side is $8 \times 1 = 8$.The equation becomes $2^x = 8$.Write 8 as a power of 2: $8 = 2 \times 2 \times 2 = 2^3$So $2^x = 2^3$; the bases are equal, so the indices are equal.$x = 3$Key point: $2^0$ is $1$, not $0$; treating it as $0$ would make the right side $0$, which no power of 2 equals.Answer:Option A ($x = 3$)