5 log 3 . 9 log 4 . 2 log 25

5 log 3 × 3^2 log 2^2 × 2 log 25
5log3 × 2/2 × 3log2 × 2log25
5log3×3log2×2log25
5log2×2log25
5log25
= 2

[tex] ^{5}log3 . ^{9}log4 . ^{2}log25 \\ \\ = ^{5}log3 . ^{ 3^{2} }log 2^{2} . ^{2}log25 \\ \\ = \frac{2}{2}. ^{5}log3 . ^{ 3}log 2 . ^{2}log25 \\ \\ = ^{5}log25 \\ \\ =2[/tex]