Question

If x^(3/2) = 64, find the value of 4x^(−3/4)

Answer 1

1/2

Explanation:

x∧(3/2) = 64 = 8²

(3/2)Log₈ x = 2 Log₈ 8

Log₈ x = 4/3

x = 8∧(4/3)

Therefore

4* x∧(-3/4) = 4* 8∧(-1) = 4/8 = 1/2 = 0.5