Question

Use the graphs below to help you answer the question.

Which is the best approximation to a solution of the equation ln x = x - 2

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1
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3

Answer 1

Here we can not see the graph, so I will upload a new graph for this case.

To solve the equation:

Ln(x) = x - 2

We can first graph the equations:

y = Ln(x)

y = x - 2

And find the point where these graphs intersect.

In the graph we can see two intersects.

One (the first one) is near the point ( 0.15, -1.85)

And the other intersection is near the point (3.14, 1.14)

Then two possible values of x that are solutions of:

ln(x) = x - 2

are:

x = 0.15

x = 3.14