The value of ( ( _2 9 )^2 )^ 1 _2 ( _2 9 ) (7)^ 1 _4 7 is. . . . … - Vidyadip

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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