Question

Решить уравнение $4^{x-3} +4^{x} =64$

Answer 1

4^(x - 3) + 4^x = 64

4^(x - 3) (1 + 4^3) = 64

4^(x - 3) 65 = 64

4^(x - 3) = 64/65

x - 3 = log(4) 64/65

x = 3 + log(4) 64/65 = 6 + log(4) 1/65 = 6 - log(4) 65