Answer:

Step-by-step explanation:
By definition, we can write ln instead of log. WHEN??
Whenever the base of the logarithm is the number "e".
Hence, when we have:

We can write it in shortcut as:

Hence, ln x can also be written as 
Fourth answer choice is right.
Answer:
x = - 
Step-by-step explanation:
Radical roots occur in pairs, that is
x =
is a root then so is x = - 
Answer: $18.90
Step-by-step explanation:
Answer:
x < 8
Step-by-step explanation:
x= # of hikes
3x +16 =5x
-3x. -3x
16=2x
16/2= 8
2x/2= x
8=x
x=8
check:
3(8) +16 =5(8)
24 +16 =40
40=40 ✓
there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.