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Chapter 5: Q. 30 (page 349)

Graphy=log3x using a graphing utility and the Change-of-Base Formula.

Short Answer

Expert verified

Graph of y=log3x

Step by step solution

01

Step 1. Given information 

a logarithmic function:y=log3x

02

Step 2. Required to find 

Graph the function using a graphing utility and the Change-of-Base Formula.

03

Step 3. Graph of the function

Change-of-base formula: logaM=lnMlna

y=log3x=lnxln3

The required graph is:

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Most popular questions from this chapter

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

5x2+8=1252x

The function f(x)=|x|is not one-to-one. Find a suitable restriction on the domain of f so that the new function that results is one-to-one. Then find the inverse of f.

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)

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

f(x)=-3x+1x

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.

y=2x+1
See all solutions

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