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Chapter 5: Q. 74 (page 284)

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

5x2+8=1252x

Short Answer

Expert verified

The value of x for which the above equation is valid are :

2,4

Step by step solution

01

Step 1. Given equation

5x2+8=1252x

02

Step 2. Solving exponentially

5x2+8=1252x5x2+8=53(2x)5x2+8=56x

By exponential property

av=au鈬�v=u

Using this :

x2+8=6x鈬�x2-6x+8=0鈬�x2-4x-2x+8=0鈬�x(x-4)-2(x-4)=0鈬�(x-2)(x-4)=0鈬�x=2orx=4

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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=e-x

If 4x=7, what does 4-2xequal?

Ideal Body Weight One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function

W(h)=50+2.3h-60

(a) What is the ideal weight of a 6-foot male?

(b) Express the height has a function of weight W.

(c) Verify that h=Whis the inverse of W=Whby showing that role="math" localid="1646158219737" h(W(h))=h and W(h(W))=W.

(d) What is the height of a male who is at his ideal weight of 80 kilograms?

[Note: The ideal body weight W for women (in kilograms) as a function of height h (in inches) is given byrole="math" localid="1646159253780" Wh=45.5+2.3(h-60).

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

To graph (x-2)3, shift the graph of y=x3to the left 2 units.
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