Answer:
x = 3.431
Step-by-step explanation:
Given equation is,
![5^{(3x-9)}-10=-2](https://tex.z-dn.net/?f=5%5E%7B%283x-9%29%7D-10%3D-2)
![5^{3x-9}-10+10=-2+10](https://tex.z-dn.net/?f=5%5E%7B3x-9%7D-10%2B10%3D-2%2B10)
![5^{3x-9}=8](https://tex.z-dn.net/?f=5%5E%7B3x-9%7D%3D8)
By taking log on both the sides of the equation,
![\text{log}(5^{3x-9})=\text{log}8](https://tex.z-dn.net/?f=%5Ctext%7Blog%7D%285%5E%7B3x-9%7D%29%3D%5Ctext%7Blog%7D8)
(3x - 9)log5 = log8
3x - 9 = ![\frac{\text{log}8}{\text{log}5}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Blog%7D8%7D%7B%5Ctext%7Blog%7D5%7D)
3x - 9 = 1.292
3x = 9 + 1.292
x = ![\frac{10.29202}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10.29202%7D%7B3%7D)
x = 3.4306
x ≈ 3.431
Answer:
Small (11.5) is 37 cents per ounce.
Large (27.8) is 36 cents per ounce.
27.8 ounces is the better buy.
The answer is <span>B. 14(m − 8)
</span>
<span>m represent the weight of the boxes that Marco lifted.
</span><span>d represent the weight of the boxes that Drew lifted.
</span><span>The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted:
d = m - 8
So the weight of one box that Drew lifted is (m - 8). Since he lifted boxes, the </span><span>total number of pounds Drew lifted is </span> 14(m - 8)
Answer:
42, 44, 45, 46, 48, 49
Step-by-step explanation: