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Chapter 5: Q. 69 (page 315)

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.

lnx=x3-1

Short Answer

Expert verified

The solutions of the given equation are 0.39 and 1.

Step by step solution

01

Step 1. Given information.

The given equation is:

lnx=x3-1

02

Step 2. Determine the solution by the graphing utility.

Plot the graphs of y1=lnx andy2=x3-1 on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at x鈮�0.39andx=1.

03

Step 3. Conclusion.

The solutions of the given equation are 0.39 and 1.

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