Answer:
solution is
![x=1.353,y=1.613](https://tex.z-dn.net/?f=x%3D1.353%2Cy%3D1.613)
Step-by-step explanation:
We are given equation as
![log_2(3x-1)=log_4(x+8)](https://tex.z-dn.net/?f=log_2%283x-1%29%3Dlog_4%28x%2B8%29)
Firstly, we will find equations
First equation is
![y=log_2(3x-1)](https://tex.z-dn.net/?f=y%3Dlog_2%283x-1%29)
Second equation is
![y=log_4(x+8)](https://tex.z-dn.net/?f=y%3Dlog_4%28x%2B8%29)
now, we can draw graph
and then we can find intersection point
we can see that
intersection point is (1.353,1.613)
so, solution is
![x=1.353,y=1.613](https://tex.z-dn.net/?f=x%3D1.353%2Cy%3D1.613)
2 - b.
3 - a.
I'm not sure about 4. Hope this helps!
Answer:
18
Step-by-step explanation:
multiply 7 and 3
reduce 15/5 to 3
subtract 21-3
18
![x^{2}+4x = -8 \\\\ x^{2}+4x+8 = 0 \\\\ \Delta = b^{2}-4ac \\\\ \Delta = (4)^{2}-4 \cdot (1) \cdot (8) \\\\ \Delta = 16-32 \\\\ \Delta = -16](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B4x%20%3D%20-8%0A%5C%5C%5C%5C%0Ax%5E%7B2%7D%2B4x%2B8%20%3D%200%0A%5C%5C%5C%5C%0A%5CDelta%20%3D%20b%5E%7B2%7D-4ac%0A%5C%5C%5C%5C%0A%5CDelta%20%3D%20%284%29%5E%7B2%7D-4%20%5Ccdot%20%281%29%20%5Ccdot%20%288%29%0A%5C%5C%5C%5C%0A%5CDelta%20%3D%2016-32%0A%5C%5C%5C%5C%0A%5CDelta%20%3D%20-16)
There's no solution in the set of real numbers.
Hey there! :)
There are 5 numbers.
Even numbers end with 2, 4, 6, 8, or 0
All of the numbers end in 0
That means all the numbers are even
Your answer is: 5/5 = 1
Hope this helps :)