1) (1/81)^3x-2=27^x+3
(1/3)^6x - 2 = 3^(3x+3)
(1/3)^6x = 3^(3x+3+2)
(1/3)^6x = 3^(3x+5)
1/3^(6x) = 3^(3x+5)
3^(6x) * 3^(3x+5) = 1
3^(9x+5) = 1
9x + 5 = 0
9x = -5
x = -5/9
2) 8^(2x+1) * 2^(x+1) = 1
(2^3)^(2x+1) * 2^(x+1) = 1
2^(6x+3) * 2^(x+1) = 1
2^(6x+3+x+1) = 1
2^(7x+4) = 1
7x+4 = 0
7x = -4
x = -4/7
1) (1/81)^3x-2=27^x+3
(1/3)^6x - 2 = 3^(3x+3)
(1/3)^6x = 3^(3x+3+2)
(1/3)^6x = 3^(3x+5)
1/3^(6x) = 3^(3x+5)
3^(6x) * 3^(3x+5) = 1
3^(9x+5) = 1
9x + 5 = 0
9x = -5
x = -5/9
2) 8^(2x+1) * 2^(x+1) = 1
(2^3)^(2x+1) * 2^(x+1) = 1
2^(6x+3) * 2^(x+1) = 1
2^(6x+3+x+1) = 1
2^(7x+4) = 1
7x+4 = 0
7x = -4
x = -4/7