Lesson 489 of 1524
Exponential and Logarithmic Functions
An exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent
Practice this chapterAn exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent A function is evaluated by solving at a specific value
The value of an account at any time t can be calculated using the compound interest formula when the principal, annual interest rate, and compounding periods are known The initial investment of an account can be found using the compound interest formula when the value of the account, annual interest rate, compounding periods, and life span of the account are known
logarithm — the exponent to which b must be raised to get x ; written y = log b ( x ). function — evaluated by solving at a specific value. exponential function — defined as a function with a positive constant other than 1 raised to a variable exponent. compound interest — interest earned on the total balance, not just the principal.
Worked example
What does “logarithm” mean in Exponential and Logarithmic Functions?
- 1Use the wording this chapter gives for logarithm.
- 2The book says: the exponent to which b must be raised to get x ; written y = log b ( x ).
- 3Do not use the meaning of function. That term means evaluated by solving at a specific value.
Result: the exponent to which b must be raised to get x ; written y = log b ( x )
Why. That is the meaning this chapter gives for logarithm.
Do not swap logarithm and function. logarithm means the exponent to which b must be raised to get x ; written y = log b ( x ). function means evaluated by solving at a specific value.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.