Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Simplifying Logarithms

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Simplifying Logarithms

Subtract the logarithms:

$log_{10}(14)-log_{10}(2)$

Possible Answers:

$log_{10}(28)$

$log_{10}(3)$

$log_{10}(12)$

$log_{10}(7)$

Correct answer:

$log_{10}(7)$

Explanation:

When subtracting logarithms of the same base, all you have to do is divide the numbers inside the function as shown below:

$log_{10}(14)-log_{10}(2)$

$log_{10}(14\div 2)$

$log_{10}(7)$

Report an Error

Example Question #22 : Simplifying Logarithms

Subtract the logarithms:

$log_{10}(25)-log_{10}(5)$

Possible Answers:

$log_{10}(20)$

$log_{10}(5)$

$log_{10}(7)$

$log_{10}(15)$

Correct answer:

$log_{10}(5)$

Explanation:

When subtracting logarithms of the same base, all you have to do is divide the numbers inside the function as shown below:

$log_{10}(25)-log_{10}(5)$

$log_{10}(25\div 5)$

$log_{10}(5)$

Report an Error

Example Question #23 : Simplifying Logarithms

Subtract the logarithms:

$log_{10}(22)-log_{10}(2)$

Possible Answers:

$log_{10}(20)$

$log_{10}(15)$

$log_{10}(11)$

$log_{10}(44)$

Correct answer:

$log_{10}(11)$

Explanation:

When subtracting logarithms of the same base, all you have to do is divide the numbers inside the function as shown below:

$log_{10}(22)-log_{10}(2)$

$log_{10}(22\div 2)$

$log_{10}(11)$

Report an Error

Example Question #24 : Simplifying Logarithms

Subtract the logarithms:

$log_{10}(7)-log_{10}(4)$

Possible Answers:

$log_{10}(7/4)$

$log_{10}(2)$

$log_{10}(3)$

$log_{10}(7)$

Correct answer:

$log_{10}(7/4)$

Explanation:

When subtracting logarithms of the same base, all you have to do is divide the numbers inside the function as shown below:

$log_{10}(7)-log_{10}(4)$

$log_{10}(7\div 4)$

$log_{10}(7/4)$

Report an Error

Example Question #25 : Simplifying Logarithms

Subtract the logarithms:

$log_{10}(3)-log_{10}(11)$

Possible Answers:

$log_{10}(3/11)$

$log_{10}(8)$

$log_{10}(1/4)$

Correct answer:

$log_{10}(3/11)$

Explanation:

When subtracting logarithms of the same base, all you have to do is divide the numbers inside the function as shown below:

$log_{10}(3)-log_{10}(11)$

$log_{10}(3\div 11)$

$log_{10}(3/11)$

Report an Error

Example Question #26 : Simplifying Logarithms

Subtract the logarithms:

$log_{10}(2)-log_{10}(5)$

Possible Answers:

$log_{10}(1/5)$

$log_{10}(2/5)$

$log_{10}(2)$

$log_{10}(3)$

Correct answer:

$log_{10}(2/5)$

Explanation:

When subtracting logarithms of the same base, all you have to do is divide the numbers inside the function as shown below:

$log_{10}(2)-log_{10}(5)$

$log_{10}(2\div 5)$

$log_{10}(2/5)$

Report an Error

Example Question #27 : Simplifying Logarithms

Add the logarithms:

$log_{10}(5)+log_{10}(3)$

Possible Answers:

$log_{10}(2)$

$log_{10}(8)$

$log_{10}(15)$

$log_{10}(12)$

Correct answer:

$log_{10}(15)$

Explanation:

When adding logarithms of the same base, all you have to do is multiply the numbers inside the function as shown below:

$log_{10}(5)+log_{10}(3)$

$log_{10}(5*3)$

$log_{10}(15)$

Report an Error

Example Question #28 : Simplifying Logarithms

Add the logarithms:

$log_{10}(7)+log_{10}(6)$

Possible Answers:

$log_{10}(42)$

$log_{10}(13)$

$log_{10}(24)$

$log_{10}(21)$

Correct answer:

$log_{10}(42)$

Explanation:

When adding logarithms of the same base, all you have to do is multiply the numbers inside the function as shown below:

$log_{10}(7)+log_{10}(6)$

$log_{10}(7*6)$

$log_{10}(42)$

Report an Error

Example Question #29 : Simplifying Logarithms

Add the logarithms:

$log_{10}(12)+log_{10}(4)$

Possible Answers:

$log_{10}(24)$

$log_{10}(16)$

$log_{10}(42)$

$log_{10}(48)$

Correct answer:

$log_{10}(48)$

Explanation:

When adding logarithms of the same base, all you have to do is multiply the numbers inside the function as shown below:

$log_{10}(12)+log_{10}(4)$

$log_{10}(12*4)$

$log_{10}(48)$

Report an Error

Example Question #30 : Simplifying Logarithms

Simplify the following expression:

$\log_{3}6+\log_{3}4-\log_{4}5$

Possible Answers:

$\log_324+\log_45$

$\log_310-\log_45$

$\log_310+\log_45$

$\log_324-\log_45$

Correct answer:

$\log_324-\log_45$

Explanation:

The furthest we can simplify the given expression is combining the two terms with the same base by multiplying the numbers on the "outside" of the logarithm (addition becomes multiplication when performing logarithmic operations).

Our final answer is therefore

$\log_324-\log_45$

Report an Error

View Algebra 2 Tutors

Chelsea
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Physics. The University of Texas at Dallas, Master of Science, Bioinf...

View Algebra 2 Tutors

Ataul
Certified Tutor

Temple University, Bachelor of Science, Financial Planning.

View Algebra 2 Tutors

Mariam
Certified Tutor

Yarmouk University, Bachelor of Science, Mathematics. Touro College, Master of Science, Teacher Education, Multiple Levels.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in New York City, Algebra Tutors in Philadelphia, LSAT Tutors in Boston, English Tutors in Seattle, ACT Tutors in Phoenix, Algebra Tutors in San Diego, Calculus Tutors in Miami, SAT Tutors in New York City, French Tutors in Philadelphia, Calculus Tutors in Houston

Popular Courses & Classes

SSAT Courses & Classes in Seattle, GMAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Denver, ACT Courses & Classes in Denver, GMAT Courses & Classes in Seattle, Spanish Courses & Classes in Washington DC, LSAT Courses & Classes in Seattle, Spanish Courses & Classes in Phoenix, LSAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Philadelphia

Popular Test Prep

GRE Test Prep in New York City, GMAT Test Prep in Atlanta, ISEE Test Prep in Philadelphia, ACT Test Prep in Washington DC, SSAT Test Prep in Chicago, ACT Test Prep in Miami, GMAT Test Prep in Philadelphia, SAT Test Prep in Dallas Fort Worth, ISEE Test Prep in San Diego, SAT Test Prep in San Francisco-Bay Area

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

Algebra II : Simplifying Logarithms

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #21 : Simplifying Logarithms

Example Question #22 : Simplifying Logarithms

Example Question #23 : Simplifying Logarithms

Example Question #24 : Simplifying Logarithms

Example Question #25 : Simplifying Logarithms

Example Question #26 : Simplifying Logarithms

Example Question #27 : Simplifying Logarithms

Example Question #28 : Simplifying Logarithms

Example Question #29 : Simplifying Logarithms

Example Question #30 : Simplifying Logarithms

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: