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  4. If a log 3 7=9, then a ( log 3 7)2 is equal to

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Q. If $a ^{\log _3 7}=9$, then $a ^{\left(\log _3 7\right)^2}$ is equal to

Continuity and Differentiability

Solution:

$ \Theta a ^{\log _3 7}=9 $
$\therefore a ^{\left(\log _3 7\right)^2}=9^{\log _3 7}=3^{2 \log _3 7}=49$