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
Solve for using rules of logarithmic functions.
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.
Subtract two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #2 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #3 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #4 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Subtract five from both sides and then divide by two.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #5 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #6 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #7 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Add six from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #8 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Add two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #9 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
Example Question #10 : Express Exponential Models As Logarithmic Solutions: Ccss.Math.Content.Hsf Le.A.4
Solve for using rules of logarithmic functions.
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.
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
All Common Core: High School - Functions Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)