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STD 11 - basic of algoritham — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - basic of algoritham4 Marks
MCQ
The value of $\left(\left(\log _2 9\right)^2\right)^{\frac{1}{\log _2\left(\log _2 9\right)}} \times(\sqrt{7})^{\frac{1}{\log _4 7}}$ is. . . . . . .
  • A
    $5$
  • ✓
    $8$
  • C
    $9$
  • D
    $10$
✓

Answer

Correct option: B.
$8$
b
$=\left(\log _2 9\right)^{\log _{\log _2 9} 2^2} \times 7^{\log _7 2}$  $=4 \times 2=8$

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