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Chapter 5: Q. 71 (page 284)

solve equation. Verify your results using a graphing utility.

8-x+14=16x

Short Answer

Expert verified

The value of x for which the equation is valid is 6.

Step by step solution

01

Step 1. Given equation

8-x+14=16x

02

Step 2. Solving the equation using exponential properties 

8-x+14=16x23(-x+14)=24(x)2(-3x+42)=2(4x)

By exponential property

av=au鈬�v=u

Using this :

-3x+42=4x鈬�7x=42鈬�x=6

We get value of x :

6

03

Step 3. Verifying Graphically

Sketching the graphs of

8-x+14=16x

Where they will intersect will be the solution .

these graph intersect at (6,16777216 )

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Most popular questions from this chapter

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.

the function f is one-to-one. Find its inverse and check your answer.

f(x)=-3x-4x-2

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

The domain of the exponential function

f(x)=axwhere a>0,a鈮�1is the set of all real numbers.

Solve the equation3x3=9x

and verify your results using a graphing utility.

Solve the equation 5x+3=15

and verify your results using a graphing utility.
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