1. log 3 x = 2
3 ^ (2) = x
x = 3 ^ (2)
x = 9
2. 10^(log(27)) = x
x = 10^(log27)
log x = log 10^(log27)
log x = log27 * log 10
log x = log27 * 1
x = 27
3. 3^(2x−1) = 27 ^ (2x−1)
log 3 ( 3 ^ (2x-1) ) = log 3 ( 27 ^ (2x-1) )
(2x-1) * log 3 3 = (2x-1) * log 3 27
(2x-1) * 1 = (2x-1) *3
2x-1 = 6x-3
2x-6x = -3+1
-4x = -2
x = 1/2