For this case we must resolve the following expression:
We have to:

The base change rule can be used if a and b are greater than 1 and are not equal to x.
We substitute the values in the base change formula, using 

Answer:
-4
Option A
Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
Answer:
The correct option is D.) Causation cannot be determined from an observational study.
Step-by-step explanation:
The conclusion is not correct because
D.) Causation cannot be determined from an observational study.
Causation determined from an observational study is speculative and cannot be confirmed without data from a real experiment.