Question

WILL FAN AND MEDAL.
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 = 2x + 3. Take the integer values of x between −3 and 3.
Part C: How can you solve the equation 4−x = 2x + 3 graphically?

Answer 1

@sammixboo can you help me?

Answer 2

I have already done A.

Answer 3

is it \[4-x\] or\[4^{-x}\]

Answer 4

the second

Answer 5

and its also 2^x+3 with x+3 as the exponent

Answer 6

@zpupster

Answer 7

you can do the table for 4^-x from the example i gave

Answer 8

also part c solving graphically is where they intersect

Answer 9

i tried to graph the equations on desmos as well, but I wasn't able to figure out how to have the x+3 as an exponent. I wil use parentheses next time!! Thanks so much for your help