Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4^-x and y = 2^(x + 3) intersect are the solutions of the equation 4^-x = 2^(x + 3).

Part B: Make tables to find the solution to 4^-x = 2^(x + 3). Take the integer values of x between -3 and 3.

Part C: How can you solve the equation 4^-x = 2^(x + 3) graphically?

Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4^-x and y = 2^(x + 3) intersect are the solutions of the equation 4^-x = 2^(x + 3). 

Part B: Make tables to find the solution to 4^-x = 2^(x + 3). Take the integer values of x between -3 and 3. 

Part C: How can you solve the equation 4^-x = 2^(x + 3) graphically?

anonymous · Answer

Is this the answer for part B?

Table for y = 4^-x:
x    y
-3 64
-2 16
-1 4
0   1
1   0.25
2   0.0625
3   0.015625

Table for y = 2^(x+3):
x    y
-3 1
-2 2
-1 4
0   8
1   16
2   32
3   64