Question

Determinati x din egalitatea 4 la puterea a 5-a × 2 la puterea a 14-a *x +8 la puterea a 9-a =4 la puterea a 14-a

Answer 1

4^5 × 2^14 × X + 8^9 = 4^14
2^2×5 × 2^14 × X + 2^3×9 = 2^2×14
2^10 × 2^14 × X + 2^27 = 2^28
2^24 × X = 2^28 - 2^27
2^24 × X = 2^27(2-1)
2^24 × X = 2^27 ×1
X = 2^27 : 2^24
X = 2^3
X = 8