Call Now to Set Up Tutoring:

(888) 888-0446

College Algebra : Exponential and Logarithmic Functions

Study concepts, example questions & explanations for College Algebra

Create An Account

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Solving Logarithmic Functions

$\log_{5}x=3$

Possible Answers:

$\frac{1}{25}$

125

$\frac{1}{125}$

Correct answer:

125

Explanation:

To solve this equation, remember log rules

$\log_{b}x=y; b^{y}=x$ .

This rule can be applied here so that

5^3=x

and

125=x.

Report an Error

Example Question #12 : Solving Logarithmic Functions

Solve for x:

$log_{3}x=2$

Possible Answers:

x=4

x=2

x=9

x=6

Correct answer:

x=9

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{3}x=2$

$3^{2}=x$

x=9

Report an Error

Example Question #13 : Solving Logarithmic Functions

Solve for x:

$log_{8}x=6$

Possible Answers:

$x=6^{8}$

x=48

x=262,144

x=728

Correct answer:

x=262,144

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{8}x=6$

$8^{6}=x$

x=262,144

Report an Error

Example Question #14 : Solving Logarithmic Functions

Solve for x:

$log_{5}x=3$

Possible Answers:

x=8

x=15

x=125

x=25

Correct answer:

x=125

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{5}x=3$

$5^{3}=x$

x=125

Report an Error

Example Question #15 : Solving Logarithmic Functions

Solve for x:

$log_{2}x=8$

Possible Answers:

x=1024

x=256

x=512

x=128

Correct answer:

x=256

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{2}x=8$

$2^{8}=x$

x=256

Report an Error

Example Question #16 : Solving Logarithmic Functions

Solve for x:

$log_{10}x=4$

Possible Answers:

x=100,000

x=100

x=10,000

x=1,000

Correct answer:

x=10,000

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{10}x=4$

$10^{4}=x$

x=10,000

Report an Error

Example Question #17 : Solving Logarithmic Functions

Solve for x:

$log_{14}x=2$

Possible Answers:

x=196

x=136

x=169

x=28

Correct answer:

x=196

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{14}x=2$

$14^{2}=x$

x=196

Report an Error

Example Question #18 : Solving Logarithmic Functions

Solve for x:

$log_{6}x=3$

Possible Answers:

x=36

x=18

x=216

x=9

Correct answer:

x=216

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{6}x=3$

$6^{3}=x$

x=216

Report an Error

Example Question #19 : Solving Logarithmic Functions

Solve for x:

$log_{6}x=4$

Possible Answers:

x=216

x=24

x=36

x=1296

Correct answer:

x=1296

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{6}x=4$

$6^{4}=x$

x=1296

Report an Error

Example Question #21 : Solving Logarithmic Functions

Solve for x:

$log_{3}x=3$

Possible Answers:

x=9

x=36

x=54

x=27

Correct answer:

x=27

Explanation:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

$log_{b}x=y\rightarrow b^{y}=x$

For this problem, manipulate the log and solve:

$log_{3}x=3$

$3^{3}=x$

x=27

Report an Error

View College Algebra Tutors

Robert
Certified Tutor

University of Guelph, Bachelor, Biochemistry.

View College Algebra Tutors

Messan
Certified Tutor

Indiana University-Purdue University-Indianapolis, Master of Science, Electrical Engineering. Indiana University-Purdue Unive...

View College Algebra Tutors

Mohammad
Certified Tutor

Jamia Millia Islamia, Master of Science, Physics.

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Seattle, Algebra Tutors in Dallas Fort Worth, SSAT Tutors in San Francisco-Bay Area, Reading Tutors in Denver, MCAT Tutors in Atlanta, English Tutors in Dallas Fort Worth, Biology Tutors in New York City, Spanish Tutors in Boston, Chemistry Tutors in Seattle, SSAT Tutors in Atlanta

Popular Courses & Classes

Spanish Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Miami, SSAT Courses & Classes in Phoenix, GMAT Courses & Classes in Houston, MCAT Courses & Classes in San Diego, GMAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Seattle, LSAT Courses & Classes in New York City, ACT Courses & Classes in San Diego

Popular Test Prep

SSAT Test Prep in Miami, ISEE Test Prep in Denver, ACT Test Prep in Washington DC, ACT Test Prep in San Diego, GMAT Test Prep in Houston, SAT Test Prep in Denver, GRE Test Prep in Miami, MCAT Test Prep in Seattle, GRE Test Prep in New York City, LSAT Test Prep in Seattle

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

College Algebra : Exponential and Logarithmic Functions

Study concepts, example questions & explanations for College Algebra

All College Algebra Resources

Example Questions

Example Question #11 : Solving Logarithmic Functions

Example Question #12 : Solving Logarithmic Functions

Example Question #13 : Solving Logarithmic Functions

Example Question #14 : Solving Logarithmic Functions

Example Question #15 : Solving Logarithmic Functions

Example Question #16 : Solving Logarithmic Functions

Example Question #17 : Solving Logarithmic Functions

Example Question #18 : Solving Logarithmic Functions

Example Question #19 : Solving Logarithmic Functions

Example Question #21 : Solving Logarithmic Functions

All College Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: