12 bro it even says to follow the order of operations. If there is only addition and subtraction you just go from left to right. Same with if there is only multiplication and division.
Answer:
![x=\frac{1}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
<u>Given:</u>
![2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)](https://tex.z-dn.net/?f=2log%28%5Cfrac%7B2%7D%7B3%7D%29%3D%5Cfrac%7B1%7D%7B2%7Dlog%28x%29-log%2818%29%2Blog%2816%29)
<u>Use the Power Rule Law:</u>
![log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)](https://tex.z-dn.net/?f=log%28%5Cfrac%7B2%7D%7B3%7D%5E2%29%3Dlog%28x%5E%7B1%2F2%7D%29%2Blog%2816%29-log%2818%29)
<u>Use the Quotient Rule Law:</u>
![log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})](https://tex.z-dn.net/?f=log%28%5Cfrac%7B4%7D%7B9%7D%29%3Dlog%28%5Csqrt%7Bx%7D%29%2Blog%28%5Cfrac%7B16%7D%7B18%7D%29)
<u>Use the Product Rule Law:</u>
![log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})](https://tex.z-dn.net/?f=log%28%5Cfrac%7B4%7D%7B9%7D%29%3Dlog%28%5Cfrac%7B16%5Csqrt%7Bx%7D%7D%7B18%7D%29)
<u>Simplify:</u>
![log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})](https://tex.z-dn.net/?f=log%28%5Cfrac%7B4%7D%7B9%7D%29%3Dlog%28%5Cfrac%7B8%5Csqrt%7Bx%7D%7D%7B9%7D%29)
![\frac{4}{9}=\frac{8\sqrt{x}}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B9%7D%3D%5Cfrac%7B8%5Csqrt%7Bx%7D%7D%7B9%7D)
![4=8\sqrt{x}](https://tex.z-dn.net/?f=4%3D8%5Csqrt%7Bx%7D)
![\frac{4}{8}=\sqrt{x}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B8%7D%3D%5Csqrt%7Bx%7D)
![\frac{1}{2}=\sqrt{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%7Bx%7D)
![\frac{1}{4}=x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%3Dx)
Answer:
B and E
Step-by-step explanation:
trust me its correct