Question

If Logx (1 / 8) = - 3 / 2, then x is equal to

A. - 4
B. 4
C. 1 / 4
D. 10

Answer 1

To solve this, you will need to review the laws of exponents:

Logx (1 / 8) = - 3 / 2
means
x^(-3/2)=1/8
x^(3/2)=8
(x^(3/2))^2=8^2
x^(3) = 64
x^(3)=4^3
x=4