SME
Grade 11 Math
Exponential and logarithmic equations, e and continuous growth
The main lesson, then each kind of problem it solves.
Exponential and logarithmic equations, e and continuous growth
Main lesson
Powers of the same base
Use this for “Solve 4⁶ = 8ˣ” by writing both sides as powers of 2.
Continuous growth
Use this for “$2,000 grows at 5% a year compounded continuously. How long until it reaches $3,000?”
Solve a log equation
Use this for “Solve log₃(2x − 1) = 4.”
Equations with two logs
Use this for “Solve log₃ x + log₃(x − 8) = 2.”