High School · Linear, Quadratic, and Exponential Models

CCSS.MATH.CONTENT.HSF.LE.A.4

For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

Read this standard on the official Common Core site

Lessons that teach this standard

• Exponential and Logarithmic Models: Half-Life and Log Scales

  Model decay, growth and cooling with exponential functions, solve for the time with logarithms, and compare values on pH, decibel and earthquake scales.

• Logarithms: Solving for an Exponent

  What a logarithm is, why it is the inverse of an exponential, how to use logs to solve for an unknown exponent, and how to evaluate any logarithm with a calculator.

• Properties of Logarithms: Product, Quotient and Power Rules

  The three logarithm rules for products, quotients and powers, why they follow from the exponent rules, expanding and condensing logs, and change of base.

• Solving Exponential and Logarithmic Equations

  Solve equations with the unknown in an exponent or inside a logarithm: matching bases, taking logs of both sides, condensing logs, and rejecting extraneous solutions.