Question

Himpunan penyelesain dari persamaan (3^2x+2) + (8.3^x) - 1 = 0

Answer 1

Verified answer

3^(2x+2) + 8 . 3^x - 1 = 0
3^(2x) . 3^2 + 8 . 3^x - 1 = 0
3^(2x) . 9 + 8 . 3^x - 1 = 0

misalkan 3^x = a

9 . a^2 + 8 . a - 1 = 0
(9a-1)(a+1) = 0
a = 1/9 atau -1

3^x = -1
x = { }

3^x = 1/9
x = -2

Jadi, x = -2

maaf kalau salah :)