Question

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

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

Answer 1

B 4.

Explanation:

logx (1/8) = -3/2

By the definition of a log:

1/8 = x^(-3/2)

ln 1/8 = -3/2 * ln x

ln x = (ln 1/8) / (-3/2)

ln x = 1.386294

x = 4.

Answer 2

B

Explanation:

x to the power of -3/2 is 1/8, therefore x is equal to 1/8^ (-3/2) =4