Progression

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Q. The value of ${\log }_7\left({\log }_7\sqrt{7\left(\sqrt{7\sqrt{7}}\right)}\right)$ is:

1. $1-3{\log }_{7}2$
2. $3{\log }_{7}2$
3. $7-3{\log }_{7}2$
4. $1-2{\log }_{7}3$

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Q.

Find the value

$3log2-\frac{1}{3}log27+log12-log4+3log5$

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