Lesson Plan: Systems of Exponential Equations
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find values that satisfy two exponential equations in two variables simultaneously.
Objectives
Students will be able to
- solve systems of equations of the form , for constants , , and and variables and , where is a power of and the roots of the quadratic equation are powers of ,
- solve systems of equations of the form , , where , , , and are powers of fixed prime,
- solve systems of equations of the form , , where and are polynomials in and , and are powers of a fixed number, and and are powers of another fixed number,
- solve systems of equations of the form , , where is a prime, is a constant, and is a power of ,
- solve systems of equations of the form , , where is a prime, is a constant, and is a power of ,
- solve systems of exponential equations graphically.
Prerequisites
Students should already be familiar with
- solving systems of linear equations,
- solving quadratic equations,
- laws of exponents,
- logarithms.
