Question

Solve the equation for x by graphing. 2-5^x=2^x-3

A.
x ≈ -1.25
B.
x ≈ 1.25
C.
x ≈ 0.75
D.
x ≈ -0.75

Answer 1

The answer is C, 0.75 :-)

Answer 2

the solution is x ≈ 0.75

C is the correct option.

Explanation:

We have to solve the equation
`2-5^x=2^x-3`

let us assume two equations

`y=2-5^x...(i)\\\\y=2^x-3`

Now, in order to solve the equation by graphing method, we graph(i) and (ii) in same coordinate axis.

Graphs of these two equations has been shown in the attached picture.

The, x-coordinate of the intersection point will given the solution.

The x-coordinate of the intersection point is x = 0.746 which can be written as x ≈ 0.75

Therefore, the solution is x ≈ 0.75

C is the correct option.