We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 3/4 : Properties of Logarithms & Exponents

Study concepts, example questions & explanations for Algebra 3/4

Create An Account

All Algebra 3/4 Resources

6 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Properties Of Logarithms & Exponents

Convert the expression from logarithmic to exponential.

$\log_6 216=3$ $\displaystyle \log_6 216=3$

Possible Answers:

6^3=216 $\displaystyle 6^3=216$

$216^{1/6}=3$ $\displaystyle 216^{1/6}=3$

$216=3^{1/6}$ $\displaystyle 216=3^{1/6}$

3^6=216 $\displaystyle 3^6=216$

$216=6^{1/3}$ $\displaystyle 216=6^{1/3}$

Correct answer:

6^3=216 $\displaystyle 6^3=216$

Explanation:

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$ $\displaystyle \log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_6 216=3$ $\displaystyle \log_6 216=3$

$\\b=6 \\a=216 \\c=3$ $\displaystyle \\b=6 \\a=216 \\c=3$

The exponential form becomes

6^3=216 $\displaystyle 6^3=216$

Report an Error

Example Question #2 : Properties Of Logarithms & Exponents

Convert the expression from logarithmic to exponential.

$\log_4 1024=5$ $\displaystyle \log_4 1024=5$

Possible Answers:

$\displaystyle 4^5=1024$

$\displaystyle 5^4=1020$

$\displaystyle 4^5=1025$

$\displaystyle 5^4=1024$

$1024^\frac{1}{4}=5$ $\displaystyle 1024^\frac{1}{4}=5$

Correct answer:

$\displaystyle 4^5=1024$

Explanation:

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$ $\displaystyle \log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_4 1024=5$ $\displaystyle \log_4 1024=5$

$\\b=4 \\a=1024 \\c=5$ $\displaystyle \\b=4 \\a=1024 \\c=5$

The exponential form becomes

$\displaystyle 4^5=1024$

Report an Error

Example Question #3 : Properties Of Logarithms & Exponents

Convert the expression from logarithmic to exponential.

$\log_3 9=2$ $\displaystyle \log_3 9=2$

Possible Answers:

2^3=9 $\displaystyle 2^3=9$

$9^\frac{1}{3}=2$ $\displaystyle 9^\frac{1}{3}=2$

3^2=9 $\displaystyle 3^2=9$

9^2=3 $\displaystyle 9^2=3$

3^3=9 $\displaystyle 3^3=9$

Correct answer:

3^2=9 $\displaystyle 3^2=9$

Explanation:

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$ $\displaystyle \log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_3 9=2$ $\displaystyle \log_3 9=2$

$\\b=3 \\a=9 \\c=2$ $\displaystyle \\b=3 \\a=9 \\c=2$

The exponential form becomes

3^2=9 $\displaystyle 3^2=9$

Report an Error

Example Question #14 : Algebra 3/4

Convert the expression from logarithmic to exponential.

$\log_6 216=3$ $\displaystyle \log_6 216=3$

Possible Answers:

3^6=216 $\displaystyle 3^6=216$

$216^{1/6}=3$ $\displaystyle 216^{1/6}=3$

$216=6^{1/3}$ $\displaystyle 216=6^{1/3}$

$216=3^{1/6}$ $\displaystyle 216=3^{1/6}$

6^3=216 $\displaystyle 6^3=216$

Correct answer:

6^3=216 $\displaystyle 6^3=216$

Explanation:

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$ $\displaystyle \log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_6 216=3$ $\displaystyle \log_6 216=3$

$\\b=6 \\a=216 \\c=3$ $\displaystyle \\b=6 \\a=216 \\c=3$

The exponential form becomes

6^3=216 $\displaystyle 6^3=216$

Report an Error

Example Question #15 : Algebra 3/4

Convert the expression from logarithmic to exponential.

$\log_4 1024=5$ $\displaystyle \log_4 1024=5$

Possible Answers:

$\displaystyle 4^5=1025$

$\displaystyle 4^5=1024$

$1024^\frac{1}{4}=5$ $\displaystyle 1024^\frac{1}{4}=5$

$\displaystyle 5^4=1020$

$\displaystyle 5^4=1024$

Correct answer:

$\displaystyle 4^5=1024$

Explanation:

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$ $\displaystyle \log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_4 1024=5$ $\displaystyle \log_4 1024=5$

$\\b=4 \\a=1024 \\c=5$ $\displaystyle \\b=4 \\a=1024 \\c=5$

The exponential form becomes

$\displaystyle 4^5=1024$

Report an Error

View Tutors

Christopher
Certified Tutor

Rose-Hulman Institute of Technology, Bachelor of Science, Physics. University of Washington, Master of Science, Physics.

View Tutors

Peter
Certified Tutor

Kansas State University, Bachelors, Mathematics. Bowling Green State University-Main Campus, Master of Science, Management In...

View Tutors

Ted
Certified Tutor

SUNY Stony Brook University, Bachelor of Science, Biology, General.

All Algebra 3/4 Resources

6 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Phoenix, GRE Tutors in New York City, SAT Tutors in New York City, Calculus Tutors in Denver, English Tutors in Chicago, English Tutors in Philadelphia, Algebra Tutors in New York City, SAT Tutors in Dallas Fort Worth, Physics Tutors in New York City, Chemistry Tutors in Denver

Popular Courses & Classes

ISEE Courses & Classes in Miami, Spanish Courses & Classes in New York City, SAT Courses & Classes in San Diego, GMAT Courses & Classes in Atlanta, LSAT Courses & Classes in Houston, GRE Courses & Classes in Denver, GRE Courses & Classes in Seattle, ACT Courses & Classes in Boston, MCAT Courses & Classes in Seattle, GMAT Courses & Classes in San Diego

Popular Test Prep

MCAT Test Prep in Atlanta, GRE Test Prep in Boston, LSAT Test Prep in Miami, MCAT Test Prep in Houston, ACT Test Prep in Boston, ISEE Test Prep in Denver, ACT Test Prep in Miami, ACT Test Prep in Chicago, GMAT Test Prep in Los Angeles, GMAT Test Prep in San Diego

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 3/4 : Properties of Logarithms & Exponents

Study concepts, example questions & explanations for Algebra 3/4

All Algebra 3/4 Resources

Example Questions

Example Question #1 : Properties Of Logarithms & Exponents

Example Question #2 : Properties Of Logarithms & Exponents

Example Question #3 : Properties Of Logarithms & Exponents

Example Question #14 : Algebra 3/4

Example Question #15 : Algebra 3/4

All Algebra 3/4 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: