Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.9

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

Unpacked Content

Knowledge

Students know:
  • Methods for using exponential and logarithmic properties to solve equations.
  • Techniques for rewriting algebraic expressions using properties of equality.

Skills

Students are able to:
  • Accurately use logarithmic properties to rewrite and solve an exponential equation.
  • Use technology to approximate a logarithm.

Understanding

Students understand that:
  • Logarithmic and exponential functions are inverses of each other, and may be used interchangeably to aid in the solution of problems.

Vocabulary

  • Exponential model
  • Exponential equation
  • Logarithm
  • Logarithmic base
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