Step-by-step explanation:
log(x+2)-log(x-1)=log2
log(x+2)/(x-1)=log2
=> (x+2)=2(x-1)
=>x+2 =2x-2
=> x=4
1. Event
2. Random
3. ???
4. Probability
• Use slope to graph linear equations in two variables.
• Find the slope of a line given two points on the line.
• Write linear equations in two variables.
• Use slope to identify parallel and perpendicular lines.
• Use slope and linear equations in two variables to model and solve real-life problems.
2
Answer:
The inverse function of
is 
Step-by-step explanation:
Inverse of a function:
To find the inverse of a function
, basically, we have to reverse r. We exchange y and x in their positions, and then we have to isolate y.
In your exercise:
![y = \sqrt[3]{x} - 8](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20-%208)
Exchanging x and y, we have:
![x = \sqrt[3]{y} - 8](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7By%7D%20-%208)
![x + 8 = \sqrt[3]{y}](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%20%5Csqrt%5B3%5D%7By%7D)
Now we have to write y in function of x
![(x+8)^{3} = (\sqrt[3]{y})^{3}](https://tex.z-dn.net/?f=%28x%2B8%29%5E%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7By%7D%29%5E%7B3%7D)

So, the inverse function of
is 
<u>Answer:</u>
-2/3
<u>Step-by-step explanation:</u>
We are to find the slope of a line which is perpendicular of a line with an equation
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of that perpendicular line.
So writing the given equation of a line in the slope intercept form:
---> 
Here the slope of this line is
so the slope of a line which is perpendicular to the given line will be
.