Multiple choice general knowledge math & puzzles

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

  1. -4

  2. 4

  3. 1/4

  4. 10
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Log_x(1/8) = -3/2 means x^(-3/2) = 1/8, so x^(3/2) = 8. Squaring both sides: x^3 = 64, therefore x = 4^(1/3) = 4. But we must check if x=1/4 works: (1/4)^(-3/2) = (4)^(3/2) = 8, which is correct.

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