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)
You have to subtract 5x since its positive bring it to the other side then divide with negative one with everything which you get you y = 5- 5x
the slope is five over one
the y intercept is 5
Answer:
if i am right it yes yes no
Step-by-step explanation:
Hi there!
<em><u>Answer:</u></em>
<em><u>t<1</u></em>
<em><u>*The answer must have a positive sign.*</u></em>
Step-by-step explanation:
First, you add by 3 from both sides of an equation.
![t-3+3](https://tex.z-dn.net/?f=t-3%2B3%3C-2%2B3)
And then, you add/subtract from left too right.
![(-2)+3=-1](https://tex.z-dn.net/?f=%28-2%29%2B3%3D-1)
It change negative to positive sign.
<em><u>Final answer is t<1</u></em>
Hope this helps!
-Charlie
Have a nice day! :)
:D
Answer:
4+p
Step-by-step explanation: