Why is 8^x=2 simplified to 1/3
8^x = 2 take the log of both sides
x log(8) = log(2)
x =log(2) / log(8)
x = 1/3
8^x = 2 and we can write
(2 ^3)^x = 2^1
2^(3x) = 2^1 now.......equate exponents
3x = 1 divide both sides by 3