APFIVE Approximating Solutions with a Table
Using the provided table of values, find the approximate value of x that solves the equation $$\ln\left(\frac{x+3}{2}\right) + \frac{x}{x+4} = 1.$$
| x | ln((x+3)/2) | x/(x+4) | Sum |
|---|---|---|---|
| 1.0 | 0.693 | 0.200 | 0.893 |
| 1.3 | 0.765 | 0.244 | 1.009 |
| 1.5 | 0.833 | 0.273 | 1.106 |
A
x ≈ 1.29
B
x ≈ 0.95
C
x ≈ 2.00
D
x ≈ 1.50
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