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

Rewrite the logarithmic equations using exponential equation

x^ - 3 / 2 = 1 / 8

The above equation may be rewritten as

x ^ - 3 / 2 = 1 / 2^3 = 2^-3

(√x) ^-3 = 2^-3

The above equation gives

√x = 2 or x = 4