The equation $\mathrm{x}^{\frac{3}{4}\left(\log _2 \mathrm{x}\right)^2+\log _2 \mathrm{x}-\frac{5}{4}}=\sqrt{2}$ has

• A

  no real roots
• B

  only one real solution
• C

  exactly two real solutions
• Correct answer
  D

  exactly three real solutions

Hence, the correct answer is option: 'D'.