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Chapter 5: Q. 5 (page 315)

Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. Verify your results using a graphing utility.

log4x=2

Short Answer

Expert verified

The solution of the equation is{16}.

Step by step solution

01

Step 1. Given information

Thegivenequationislog4x=2.

We have to express irrational solutions in exact form and as a decimal rounded to three decimal places.

Also, we have to verify the result using the graphing utility.

02

Step 2. Simplify.

Now,Wecanwrite,鈬�logab=casb=ac.Thus,鈬�log4x=2鈬�x=42鈬�x=16

03

Step 3. Verifying the result

Plot the graph of the equation log4x=2using the graphing utility.

From the above graph. we can observe that the graph of the given equation intersects the x-axis at x=16.

Therefore, the solution is verified.

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Most popular questions from this chapter

Solve the equation2-x=16

and verify your results using a graphing utility

solve each equation. Verify your results using a graphing utility.

4x2=2x

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If fx=ax, show thatf-x=1fx.

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