Question

Solve the equation for x by graphing.

3^(-x + 2) = 2^x - 4

x ≈ 3
x ≈ 2.25
x ≈ 1.25
x ≈ 1.75

Answer 1

Solution is:

x ≈ 2.25

Explanation:

The solution of the equation
`3^(-x + 2) = 2^x - 4` is that point on the graph at which the two graphs i.e. graph of
`3^(-x + 2)` and
`2^x-4` meet

As we can clearly see the two graphs meet at:

(2.251,0.759)

Hence, Solution is:

x ≈ 2.25

Answer 2

Answer: Second option x ≈ 2.25
Please, see the attached graph.
Thanks.