Answer:
A. x ≈ 9/8
Explanation:
We can see that left side > right side at x=1 and left side < right side at x=2. So, the solution is between x=1 and x=2.
As a first approximation, we can choose x = 3/2. Left side ≈ 0.73, right = 3.5
The solution is between x=1 and x=3/2.
For the 2nd approximation, we choose x = 5/4. Left ≈ 1.28, right = 2.25
The solution is between x=1 and x=5/4.
For the 3rd approximation, we choose x = 9/8. Left ≈ 1.62, right ≈ 1.63
The solution is between x=1 and x=9/8. The next estimate will be 17/16.
Our third estimate of the solution is 9/8.