Question

задание из 16 номера егэ

Answer 1

33ₓ₊₄ - 33₄ = 33₁₀

33ₓ₊₄ = 3 * (x + 4)¹ + 3 * (x + 4)⁰ = 3x + 12 + 3 = 3x + 15

33₄ = 3 * 4¹ + 3 * 4⁰ = 12 +3 = 15

3x + 15 - 15 = 33

3x = 33

x = 11

Проверка:

33₁₅ - 33₄ = 33₁₀

33₁₅ = 3 * 15¹ + 3 * 15⁰ = 45 + 3 = 48₁₀

33₄ = 3 * 4¹ + 3 * 4⁰ = 12 +3 = 15₁₀

48 - 15 = 33