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Chapter 5: Q. 77 (page 284)

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

ex=e3x+8

Short Answer

Expert verified

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

-4

Step by step solution

01

Step 1. Given equation

ex=e3x+8

02

Step 2. Solving exponentially

ex=e3x+8x=3x+82x=-8x=-4

03

Step 3. Verifying Graphically

Sketching the graphs of

ex&e3x+8

Where they will intersect will be the solution

Hence verified

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Most popular questions from this chapter

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

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

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

localid="1646160286433" fx=5-e-x

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

fx=ex-1

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

Use the graph of y=f(x)given in the Problem 43to evaluate the following:

(a) f(-1)

(b) f(1)

(c) f-1(1)

(d) f-1(2)
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