Answer:
The exact solution is

And the approximation to three decimal places is:
x = 0.363
Step-by-step explanation:
Here we have the equation:

Now we can remember a property of the natural logarithm function:
Ln(a^n) = n*Ln(a)
Now we can apply the Ln( ) function to both sides of that equation to get:

Then we get:

Solving that for x we get:

So the exact solution is:

And the approximation to three decimal places is:
x = 0.363
If he eats 6 loaves in 8 days, that means he ate 0.75 of a loaf each day. (6 divided by 8 = 0.75)
In a 12 day trip,
# divided by 12 = 0.75;
so to undo division, you multiply.
12 x 0.75 = #
# = 9. So 9 loaves for 12 days.
Answer:
Step-by-step explanation:
![S_{31} = 9 \cdot 31 + [-0.5 \cdot \frac{31(31-1)}{2}] = 46.5](https://tex.z-dn.net/?f=S_%7B31%7D%20%3D%209%20%5Ccdot%2031%20%2B%20%5B-0.5%20%5Ccdot%20%5Cfrac%7B31%2831-1%29%7D%7B2%7D%5D%20%3D%2046.5)
![S_{40} = 40 + [-3 \cdot \frac{40(40-1)}{2}] = -2300](https://tex.z-dn.net/?f=S_%7B40%7D%20%3D%2040%20%2B%20%5B-3%20%5Ccdot%20%5Cfrac%7B40%2840-1%29%7D%7B2%7D%5D%20%3D%20-2300)
The answer is 0.6616
Hope it helped :)