Mathematics

# If 3^x = 54, then which of the following must be true? A. 1 < x < 2 B. 2 < x < 3 C. 3 < x < 4 D. 4 < x < 5 E. 5 < x

$3^x=54\\\\27 < 54 < 81\\\\27=3^3;\ 81=3^4\\\\3^3 < 54 < 3^4\\\\Answer:3 < x < 4$