Multiple choice

22x-1 = (16/√8)6

  1. 7

  2. 0

  3. 8

  4. 0.25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Simplify the right side: (16 / sqrt(8))^6 = (16 / (2*sqrt(2)))^6 = (8 / sqrt(2))^6 = (4*sqrt(2))^6. This simplifies to (2^2 * 2^0.5)^6 = (2^2.5)^6 = 2^15. Setting 2^(2x-1) = 2^15, we get 2x-1 = 15, so 2x = 16, x = 8.

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