Answer:
Yes because both the numerator and the denominator are multiplied by 4 to get to the resulting fraction.
Answer:
The answer is the 1st one.
Step-by-step explanation:
Hope it helps! :)
Answer:
Final answer is
or
.
Step-by-step explanation:
Given equation is ![\log_x\left(8x-3\right)-\log_x\left(4\right)=2](https://tex.z-dn.net/?f=%5Clog_x%5Cleft%288x-3%5Cright%29-%5Clog_x%5Cleft%284%5Cright%29%3D2)
Now we need to solve that equation for x.
![\log_x\left(8x-3\right)-\log_x\left(4\right)=2](https://tex.z-dn.net/?f=%5Clog_x%5Cleft%288x-3%5Cright%29-%5Clog_x%5Cleft%284%5Cright%29%3D2)
Apply formula ![\log_c\left(A\right)-\log_c\left(B\right)=\log_c\left(\frac{A}{B}\right)](https://tex.z-dn.net/?f=%5Clog_c%5Cleft%28A%5Cright%29-%5Clog_c%5Cleft%28B%5Cright%29%3D%5Clog_c%5Cleft%28%5Cfrac%7BA%7D%7BB%7D%5Cright%29)
![\log_x\left(\frac{8x-3}{4}\right)=2](https://tex.z-dn.net/?f=%5Clog_x%5Cleft%28%5Cfrac%7B8x-3%7D%7B4%7D%5Cright%29%3D2)
Apply formula ![\log_c\left(A\right)=b \Rightarrow c^b=A](https://tex.z-dn.net/?f=%5Clog_c%5Cleft%28A%5Cright%29%3Db%20%5CRightarrow%20c%5Eb%3DA)
![x^2=\frac{8x-3}{4}](https://tex.z-dn.net/?f=x%5E2%3D%5Cfrac%7B8x-3%7D%7B4%7D)
![4x^2=8x-3](https://tex.z-dn.net/?f=4x%5E2%3D8x-3)
![4x^2-8x+3=0](https://tex.z-dn.net/?f=4x%5E2-8x%2B3%3D0)
![4x^2-2x-6x+3=0](https://tex.z-dn.net/?f=4x%5E2-2x-6x%2B3%3D0)
![2x(2x-1)-3(2x-1)=0](https://tex.z-dn.net/?f=2x%282x-1%29-3%282x-1%29%3D0)
![(2x-3)(2x-1)=0](https://tex.z-dn.net/?f=%282x-3%29%282x-1%29%3D0)
or ![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
or ![2x=1](https://tex.z-dn.net/?f=2x%3D1)
or ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Hence final answer is
or
.
Answer:
5
Step-by-step explanation:
If the contestant has 9 minutes for 45 hotdogs, then you would have to divide 45 by 9 to get the answer. 45 divided by 9 is 5.
Then, to see if your answer makes sense, you would multiply 9 by 5 to see if you get 45, which you do.