Answer:
x = 2
Step-by-step explanation:
[tex]27=3^{2x-1}\\\\3^{3}=3^{2x-1}\\[/tex]
Bases are equal. So, compare powers
2x - 1 = 3
Add 1 to both sides,
2x = 3+1
2x = 4
Divide both sides by 2
x = 4/2