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16 December, 08:25

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

A. - 4

B. 4

C. 1 / 4

D. 10

+1
Answers (2)
  1. 16 December, 11:29
    0
    B

    Step-by-step explanation:

    x to the power of - 3/2 is 1/8, therefore x is equal to 1/8^ (-3/2) = 4
  2. 16 December, 12:17
    0
    B 4.

    Step-by-step 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.
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