Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
![\log_{2}[\log_{2}(\sqrt{4x})]=1](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%5B%5Clog_%7B2%7D%28%5Csqrt%7B4x%7D%29%5D%3D1)
i.e. ![\log_{2}(\sqrt{4x})=2^{1}](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%28%5Csqrt%7B4x%7D%29%3D2%5E%7B1%7D)
i.e. ![\sqrt{4x}=2^{2}](https://tex.z-dn.net/?f=%5Csqrt%7B4x%7D%3D2%5E%7B2%7D)
i.e. ![\sqrt{4x}=4](https://tex.z-dn.net/?f=%5Csqrt%7B4x%7D%3D4)
i.e. ![4x=4^{2}](https://tex.z-dn.net/?f=4x%3D4%5E%7B2%7D)
i.e. ![4x=16](https://tex.z-dn.net/?f=4x%3D16)
i.e. ![x=4](https://tex.z-dn.net/?f=x%3D4)
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is
.
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.
Simple interest: $495 (i=p•r•t)
Answer:
360
Step-by-step explanation:
you just use Rectangular volume length*width*highet then divide 2
you can got it.
A system with the same slope, but different y-intercepts is parallel lines
Answer:
![y=-\frac{3}{2}x-2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx-2)
Step-by-step explanation:
using the y=mx+b equation, where m=slope and b=y-intercept, we can place our known slope and y-intercept to form our answer,
:-) hope this helped!