Показательные уравнения 3^(2x) - 3^(2x-1) = 18 2^(x+1) + 2^x = 6

Question

Показательные уравнения
3^(2x) - 3^(2x-1) = 18
2^(x+1) + 2^x = 6

Answer 1

3^(2х) - 3^(2х-1) = 18
3^(2х-1) × (3 - 1) = 18
3^(2х-1) × 2 = 18
3^(2х-1) = 9
3^2 = 9
2х - 1 = 2
2х = 3
х = 1,5

2^(х+1) + 2^х = 6
2^х(2 + 1) = 6
2^х × 3 = 6
2^х = 2
х = 1