CAT (QA) PYQs

If $x$ is a positive real number such that $4 \log _{10} x+4 \log _{100} x+8 \log _{1000} x=13$, t hen greatest integer not exceeding x , is

If $\log _{4} 5=\left(\log _{4} y\right)\left(\log _{6} \sqrt{ } 5\right)$, then $y$ equals

If $\log _{2}\left(5+\log _{3} a\right)=3$ and $\log _{5}\left(4 a+12+\log _{2} b\right)=3$, then $a+b$ is equal to