Find the value of ${\log }_{\sqrt{2}}64.$

Q. If $|x-{\log }_{\sqrt{3}/2}\left(\frac{64}{27}\right)|=1$, then the value of $x$ is/are

Q. Find the value of
$i){\log }_{2}32$ $ii){\log }_5\sqrt[3]{35}$
$iii){\log }_{\sqrt{2}}64$ $iv){\log }_{10}100000$

Q. Find the value of:

(1) 3⁶
(2) 6³
(3) 2⁶
(4) 1⁸
(5) 5⁴
(6) 4³
(7) 10⁵
(8) 10⁷
(9) 7⁴
(10) 8²

Q. Find the unit's digit in ${264}^{102}+{264}^{103}$

Q. Find the value of log 4 + log 5 - log 2.