1) 16^x - 9 = 1/216^x = 9 + 1/216^x = 18/216^x = 9x = log16(9)
2) (5x - 3)^2 = (5x + 13)^225x^2 - 30x + 9 = 25x^2 + 130x + 169-30x + 9 = 130x + 169-30x - 130x = 169 - 9-160x = 160x = 160 / -160x = -1
3) (x - 6) / (7x + 3) = (x - 6) / (5x - 1)(x - 6)(5x - 1) = (x - 6)(7x + 3)5x^2 - x - 30x + 6 = 7x^2 + 3x - 42x - 185x^2 - 31x + 6 = 7x^2 - 39x - 18-31x + 6 = -39x - 18-31x + 39x = -18 - 68x = -24x = -24 / 8x = -3
1) 16^x - 9 = 1/2
16^x = 9 + 1/2
16^x = 18/2
16^x = 9
x = log16(9)
2) (5x - 3)^2 = (5x + 13)^2
25x^2 - 30x + 9 = 25x^2 + 130x + 169
-30x + 9 = 130x + 169
-30x - 130x = 169 - 9
-160x = 160
x = 160 / -160
x = -1
3) (x - 6) / (7x + 3) = (x - 6) / (5x - 1)
(x - 6)(5x - 1) = (x - 6)(7x + 3)
5x^2 - x - 30x + 6 = 7x^2 + 3x - 42x - 18
5x^2 - 31x + 6 = 7x^2 - 39x - 18
-31x + 6 = -39x - 18
-31x + 39x = -18 - 6
8x = -24
x = -24 / 8
x = -3