[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent term is ~
[tex] \boxed{3a + 2b}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
- [tex] log_{6}(2 \times 2 \times 2 \times 3 \times 3) [/tex]
- [tex] log_{6}(2 {}^{3} \times {3}^{2} ) [/tex]
- [tex] log_{6}(2 {}^{3} ) + log_{6}(3 {}^{2} ) [/tex]
- [tex]3 log_{6}(2) + 2 log_{6}(3) [/tex]
Now plug the given values ~
- [tex](3 \times a) + (2 \times b)[/tex]
