Answer: ![5=log_{2}(32)](https://tex.z-dn.net/?f=5%3Dlog_%7B2%7D%2832%29)
Step-by-step explanation:
1. By definition, you have if
, then ![x=log_{b}(y)](https://tex.z-dn.net/?f=x%3Dlog_%7Bb%7D%28y%29)
2. Keeping this on mind, you must follow the proccedure shown below:
- You have that:
![2^{5}=32](https://tex.z-dn.net/?f=2%5E%7B5%7D%3D32)
Where:
![x=5\\y=32\\b=2](https://tex.z-dn.net/?f=x%3D5%5C%5Cy%3D32%5C%5Cb%3D2)
- Substitute values into
. Then, you obtain:
Answer: X= 3.75
HOPE THIS HELPS:)))))
Step-by-step explanation:
![\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x-2%29%5E2%7D%7B49%7D%2B%5Cdfrac%7B%28y%2B5%29%5E2%7D%7B36%7D%3D1)
The equation of a elipse:
![\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7Ba%5E2%7D%2B%5Cdfrac%7By%5E2%7D%7Bb%5E2%7D%3D1)
The length of the major axis is equal 2a if a > b or 2b if b > a.
We have
![a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b](https://tex.z-dn.net/?f=a%5E2%3D49%5Cto%20a%3D%5Csqrt%7B49%7D%3D7%5C%5C%5C%5Cb%5E2%3D36%5Cto%20b%3D%5Csqrt%7B36%7D%3D6%5C%5C%5C%5Ca%20%3E%20b)
therefore the length of the major axis is equal 2 · 7 = 14.
Answer is d. -5/3 because y2-y1 =x2-x1