We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Functions : Express Exponential Models as Logarithmic Solutions: CCSS.Math.Content.HSF-LE.A.4

Study concepts, example questions & explanations for Common Core: High School - Functions

Create An Account

All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 Next →

Example Question #1 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$e^{x-4}+2=10$

Possible Answers:

$x=\frac{\ln 8}{2}$

$x=\ln 8-4$

$x={\ln 4}$

$x=\ln 8+4$

$x=\frac{\ln 8}{4}$

Correct answer:

$x=\ln 8+4$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and dare numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$e^{x-4}+2=10$

Subtract two from both sides.

$\\e^{x-4}+2-2=10-2 \\e^{x-4}=8$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^{x-4}=8 \\ \ln e^{x-4}=\ln 8\\ x-4=\ln 8\\x=\ln 8+4$

Report an Error

Example Question #2 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$e^{x-4}+1=5$

Possible Answers:

$x=\ln4-4$

$x=\ln4+1$

$x=\ln4-1$

$x=\ln4+4$

$x=\ln1+4$

Correct answer:

$x=\ln4+4$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$e^{x-4}+1=5$

Subtract one from both sides.

$\\e^{x-4}+1-1=5-1 \\e^{x-4}=4$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^{x-4}=4 \\ \ln e^{x-4}=\ln 4\\ x-4=\ln 4\\x=\ln 4+4$

Report an Error

Example Question #3 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$2e^{x}+1=5$

Possible Answers:

$x=\sqrt{\ln2}$

$x=\ln2$

$x=\ln4$

$x=\ln1$

$x=\sqrt{\ln4}$

Correct answer:

$x=\ln2$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$2e^{x}+1=5$

Subtract one from both sides.

$\\2e^{x}+1-1=5-1 \\2e^{x}=4$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\2e^x=4 \\e^x=\frac{4}{2} \\ \\e^x=2 \\ \ln e^x=\ln2 \\x=\ln 2$

Report an Error

Example Question #4 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$2e^{x}+5=17$

Possible Answers:

$x=\ln6$

$x=\ln12-2$

$x=\ln4-2$

$x=\ln6+2$

$x=\ln4$

Correct answer:

$x=\ln6$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$2e^{x}+5=17$

Subtract five from both sides and then divide by two.

$\\2e^{x}+5-5=17-5\\2e^{x}=12\\e^x=6$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^x=6 \\ \ln e^x=\ln6 \\x=\ln 6$

Report an Error

Example Question #5 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$4e^{x}+5=17$

Possible Answers:

x=3

x=1

$x=-\ln3$

$x=\ln3$

$x=\ln6$

Correct answer:

$x=\ln3$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$4e^{x}+5=17$

Subtract five from both sides and then divide by four.

$\\4e^{x}+5-5=17-5\\4e^{x}=12\\e^x=3$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^x=3 \\ \ln e^x=\ln3 \\x=\ln 3$

Report an Error

Example Question #6 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$4e^{x}+5=13$

Possible Answers:

$x=\ln2$

x=e^2

$x=\ln2-1$

x=2

$x=\ln1$

Correct answer:

$x=\ln2$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$4e^{x}+5=13$

Subtract five from both sides and then divide by four.

$\\4e^{x}+5-5=13-5\\4e^{x}=8\\e^x=2$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^x=2 \\ \ln e^x=\ln2 \\x=\ln 2$

Report an Error

Example Question #7 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$4e^{x}-6=12$

Possible Answers:

$x=\ln \frac{9}{2}$

$x=-\ln18$

$x=\ln\frac{2}{9}$

$x=\ln2+18$

$x=\ln18-2$

Correct answer:

$x=\ln \frac{9}{2}$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$4e^{x}-6=12$

Add six from both sides and then divide by four.

$\\4e^{x}-6+6=12+6\\4e^{x}=18\\\\e^x=\frac{9}{2}$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^x=\frac{9}{2} \\\\ \ln e^x=\ln\frac{9}{2} \\x=\ln \frac{9}{2}$

Report an Error

Example Question #8 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$e^{x-4}-2=10$

Possible Answers:

$x=\ln6-2$

$x=\ln12-4$

$x=\ln6+2$

$x=\ln12+4$

$x=\ln4$

Correct answer:

$x=\ln12+4$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$e^{x-4}-2=10$

Add two from both sides.

$\\e^{x-4}-2+2=10+2 \\e^{x-4}=12$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^{x-4}=12 \\ \ln e^{x-4}=\ln 12\\ x-4=\ln 12\\x=\ln 12+4$

Report an Error

Example Question #9 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$e^{x-4}-1=5$

Possible Answers:

$x=\ln 6-2$

$x=\ln 6-4$

$x=\ln 6+4$

$x=\ln 6$

$x=\ln 6+2$

Correct answer:

$x=\ln 6+4$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$e^{x-4}-1=5$

Add one from both sides.

$\\e^{x-4}-1+1=5+1 \\e^{x-4}=6$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^{x-4}=6 \\ \ln e^{x-4}=\ln 6\\ x-4=\ln 6\\x=\ln 6+4$

Report an Error

Example Question #10 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Solve for using rules of logarithmic functions.

$e^{x-4}-1=1$

Possible Answers:

$x=\ln 2-4$

$x=\ln 2+1$

$x=\ln 2+2$

$x=\ln 2-2$

$x=\ln 2+4$

Correct answer:

$x=\ln 2+4$

Explanation:

This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.

$e^{x-4}-1=1$

Add one from both sides.

$\\e^{x-4}-1+1=1+1 \\e^{x-4}=2$

Step 2: Identify logarithmic rules.

Recall that $\ln e=1$

Step 3: Apply logarithmic rules to solve for .

$\\e^{x-4}=2 \\ \ln e^{x-4}=\ln 2\\ x-4=\ln 2\\x=\ln 2+4$

Report an Error

← Previous 1 2 Next →

View Tutors

Gina
Certified Tutor

Hinds Community College, Associate in Arts, Marketing. Portfolio Center, Certificate, Commercial Photography.

View Tutors

Jeromy
Certified Tutor

Washington State University, Bachelor of Science, Psychology. University of Washington-Seattle Campus, Master of Arts Teachin...

View Tutors

Cassandra
Certified Tutor

Eastern Michigan University, Bachelor of Education, Science Teacher Education.

All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Miami, French Tutors in San Diego, Statistics Tutors in San Diego, French Tutors in Houston, Statistics Tutors in Dallas Fort Worth, Spanish Tutors in Los Angeles, Reading Tutors in New York City, Biology Tutors in Chicago, Statistics Tutors in Seattle, LSAT Tutors in New York City

Popular Courses & Classes

ISEE Courses & Classes in Seattle, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in Chicago, ISEE Courses & Classes in Houston, MCAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Philadelphia, GRE Courses & Classes in Miami, SSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Phoenix, GMAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

LSAT Test Prep in Denver, GRE Test Prep in Washington DC, ISEE Test Prep in Phoenix, GMAT Test Prep in Los Angeles, LSAT Test Prep in Phoenix, SSAT Test Prep in Phoenix, ACT Test Prep in San Diego, GMAT Test Prep in Chicago, GMAT Test Prep in Atlanta, GRE 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

Common Core: High School - Functions : Express Exponential Models as Logarithmic Solutions: CCSS.Math.Content.HSF-LE.A.4

Study concepts, example questions & explanations for Common Core: High School - Functions

All Common Core: High School - Functions Resources

Example Questions

Example Question #1 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #2 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #3 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #4 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #5 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #6 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #7 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #8 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #9 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

Example Question #10 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4

All Common Core: High School - Functions Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: