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Chapter 5: Q. 37 (page 315)

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

8-x=1.2

Short Answer

Expert verified

x=鈭�log81.2=鈭�ln1.2ln8鈮�鈭�0.088

Step by step solution

01

Step 1. Given information

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

8-x=1.2

02

Step 2. Explanastion

鈬�8鈭�x=1.2鈬�log88鈭�x=log81.2鈬�鈭�x=log81.2鈬�x=鈭�log81.2鈬�x=鈭�log81.2=鈭�ln1.2ln8鈮�鈭�0.088

03

Step 3. Verifying the result  

Plot the graph of the equation using the graphing utility as shown below

Hence,

The solution isx=-0.088

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Most popular questions from this chapter

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

f(x)=2x+3x+2

Use the graph of y=f(x)given in Problem 44to evaluate

the following:

(a)f(2)

(b) f(1)

(c) f-1(0)

(d) f-1(-1)

Findf(3)iff(x)=-4x2+5x.

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

3x2-7=272x

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

f(x)=2x3x-1
See all solutions

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