All Common Core: High School - Functions Resources
Example Questions
Example Question #11 : 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 and
Step 3: Apply logarithmic rules to solve for .
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All Common Core: High School - Functions Resources
