## anonymous 4 years ago Solve 2 log2 2 + 2 log2 6 – log2 3x = 3

1. anonymous

the log(4)(36)-log36=3

2. anonymous

hmm ,from where you got (36) ???

3. anonymous

i meant to put log(4)(36)-log3x=3 sorry

4. anonymous

right now i really just don't know where to go from log144-log3x=3

5. anonymous

Wow I would have never gotten that thank you! but thats not one of the answer choices

6. anonymous

ok im confused

7. anonymous

thay are x= 2,x=6,x=16,x=18

8. anonymous

Lets begin step by step First we will get the power inside the log : $\Large Log_{2}2^2+Log_{2}6^2-Log_{2}(3x)=3$ Then according the the property that i showed to you in the last Post We will combine them: $\Large Log_{2}\frac{2^2*6^2}{(3x)}=3$ Lets change it to exponential : $\Large \frac{2^3}{1}=\frac{2^2*6^2}{(3x)}$ Now lets change it to an equation: $\Large \color{red}{24x=144}$ Divide by 24 $\Huge \color{blue}{x=6}$

9. anonymous

Got it ?

10. anonymous

ooh ok i got it thanks