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Chapter 5: Q. 68 (page 315)

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

ln(2x)=-x+2

Short Answer

Expert verified

The solution of the given equation is 1.16.

Step by step solution

01

Step 1. Given information.

The given equation is:

ln(2x)=-x+2

02

Step 2. Determine the solution by the graphing utility.

Plot the graphs of y1=ln(2x)and y2=-x+2on 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�1.159. After rounding the value to two decimal placesx鈮�1.16.

03

Step 3. Conclusion.

The solution of the given equation is 1.16.

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Most popular questions from this chapter

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=2-e-x/2

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

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In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=42-x

Solve the equation(14)x=164

and verify your results using a graphing utility.

The domain of a one-to-one functionf is [0,鈭�), and its range is[5,鈭�). State the domain and the range of f-1.
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