Forest park campgrounds charges $100 membership fee plus $35 per night. woodland campgrounds charges a $20 membership fee plus $55 per night. your friend says that if you plan tcharges a $20 membership fee plus $55 per night. your friend says that if you plan to camp for four or more nights, then you should choose woodland campgrounds. is your friend correct?

If camping for 4 nights, you should either of them since they cost the same. However, if camping for more than 4 nights, you should choose Forest park since it would be cheaper than Woodland.

Step-by-step explanation:

Step 1:  compare total price for 4 nights in each campground;

Forest park= 100+(4*35)= $240

Woodland= 20+(4*55)= $240

Therefore, if camping for 4 nights, you should choose either of the two because they cost the same.

Step 2: compare total price for camping more than 4 nights in each campground;

Assume you plan to stay for 6 nights

Forest park= 100+(6*35)= $310

Woodland= 20+(6*55)= $350

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752