solve 3^(2x+1) = 9^(2x-1)
using base 3 logs
3^(2x+1) = 3^2(2x-1)
easy way
2x+1 = 4x-2
2z=3
x= 3/2
using logs base 3
2x+1 = (2x-1)log3(9)
2x+1 = (2x-1)log3(3^2)
2x+1 = (2x-1)(2) log3(3)
2x+1 = 2(2x-1) same as above
using base 3 logs
easy way
2x+1 = 4x-2
2z=3
x= 3/2
using logs base 3
2x+1 = (2x-1)log3(9)
2x+1 = (2x-1)log3(3^2)
2x+1 = (2x-1)(2) log3(3)
2x+1 = 2(2x-1) same as above