What is the smallest integer b for which 27^b> 3^24?  Choices:
A) 7
B) 8
C) 9
D) 10
E) 12

Rationale: "27 ^ b > 3 ^ 24 converting into the same bases : 27 ^ b > 27 ^ 8 therefore for the equation to hold true , b > 8 or b = 9 option c"
Answer: C