Given that $y={\log }_{5}x,$ find in terms of $y:$

${\log }_{x}125$

Given that $x={\log }_{4}p$ and $y={\log }_{4}q,$ express in terms of $x$ and/or $y:$

${\log }_4\left(64p\right)$

Given that $x={\log }_{4}p$ and $y={\log }_{4}q,$ express in terms of $x$ and/or $y:$

${\log }_4\left(\frac{2}{q}\right)$

Given that $x={\log }_{4}p$ and $y={\log }_{4}q,$ express in terms of $x$ and/or $y:$

$pq$

Given that $x={\log }_{4}p$ and $y={\log }_{4}q,$ express in terms of $x$ and/or $y:$

${\log }_4{p}^2-{\log }_4\left(4\sqrt{q}\right)$

Given that ${\log }_{a}x=7$ and ${\log }_{a}y=4,$ find the value of:

${\log }_a\left(\frac{x}{y}\right)$

Given that ${\log }_{a}x=7$ and ${\log }_{a}y=4,$ find the value of:

${\log }_a\left(\frac{\sqrt{x}}{y^2}\right)$

Given that ${\log }_{a}x=7$ and ${\log }_{a}y=4,$ find the value of:

${\log }_a\left(x^2\sqrt{y}\right)$

Given that ${\log }_{a}x=7$ and ${\log }_{a}y=4,$ find the value of:

${\log }_a\left(\frac{y}{\sqrt[3]{x}}\right)$