If we can match teh bases we can solve
because if x=x and xᵃ=xᵇ, we can conclude that a=b
16=2⁴
32=2⁵
rememeber that
![(x^m)^n=x^{mn}](https://tex.z-dn.net/?f=%28x%5Em%29%5En%3Dx%5E%7Bmn%7D)
![16^{3x+2}=32^{-2x-7}](https://tex.z-dn.net/?f=16%5E%7B3x%2B2%7D%3D32%5E%7B-2x-7%7D)
![(2^4)^{3x+2}=(2^5)^{-2x-7}](https://tex.z-dn.net/?f=%282%5E4%29%5E%7B3x%2B2%7D%3D%282%5E5%29%5E%7B-2x-7%7D)
![2^{4(3x+2)}=2^{5(-2x-7)}](https://tex.z-dn.net/?f=2%5E%7B4%283x%2B2%29%7D%3D2%5E%7B5%28-2x-7%29%7D)
2=2 so we conclude that 4(3x+2)=5(-2x-7)
4(3x+2)=5(-2x-7)
expand/distribute
12x+8=-10x-35
add 10x both sides
22x+8=-35
minus 8 both sides
22x=-43
divide both sides by 22
x=-43/22
Answer: For the first on its a total of $5 dollars for the second one its a total of $3.45 cents
So all in total $8.45
I used my graphing calculator and it shows its graph C
For The first question, the answer is 6.
For the 2nd question, the answer is 127
The solution is on the picture
Answer:
B C and E
Step-by-step explanation: