<span>We have this equation:
</span>

and we need to find the value of x.
First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:
Next step we must do is to apply <span>logarithms:
</span>

Next, we have to apply identities and then to solve the equation:




Finally, we have the value of x which was our goal. This is the answer for the question above:
Answer:the answer is A) g(x) is shifted down 2 units
Step-by-step explanation:
Since the last number after the parentheses represents the vertical shift, taking away the +2, leaves you with 0 meaning that there is no vertical shift, so the function lies on the x-axis. The graph shifts down 2 units
9514 1404 393
Answer:
D. in quadrant III
Step-by-step explanation:
The signs of the coordinates tell you the point is located left of, and below, the origin (where the axes cross). That puts it in Quadrant III.
Line 1--------- >(0,2) (1,-1)
y=mx+b m=(-1-2)/(1-0)=-3
2=(-3)*(0)+b----- > b=2
y1=-3x+2Line 2--------- >(0,-1) (2,2)
y=mx+b m=(2+1)/(2-0)=3/2
-1=(3/2)*(0)+b----- > b=-1
y2=(3/2)x-1
<span>using a graphic tool
see attached figure</span>
the best estimate solution for the system is <span>
(1, 1)
because </span>is the only one within the range of the x axis (-5,5) and the y axis (-5,5)