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Chapter 5: Q. 72 (page 315)

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

ex-lnx=4

Short Answer

Expert verified

The solutions of the given equation are 0.05 and 1.48.

Step by step solution

01

Step 1. Given information.

The given equation is:

ex+lnx=4

02

Step 2. Determine the solution by the graphing utility.

Plot the graphs of y1=ex-lnxand y2=4on 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�0.053and x鈮�1.48. After rounding the value to two decimal places x鈮�0.05andx鈮�1.48.

03

Step 3. Conclusion.

The solutions of the given equation are 0.05 and 1.48.

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