# Chapter 9.1-9.6 Test Outline

From Huben's Wiki

- Exponentials and logarithms
- Notation

- Convert
- 5 properties of exponentials
- domain, range, intercept, asymptote, one-to-one + continuous
- use property of equality to solve
- iff
- check for extraneous solutions
- logarithms and exponentials are inverses of each other
- exponential growth/decay reflect across y axis
- writing exponential functions for data
- evaluate logarithms
- solve inequalities
- properties of logarithms: product, quotient, power
- sliderules multiply by addition of lengths, which are logarithms
- e, the natural number
- bases of common log (10) and natural log (e)
- change of base formula
- solving tricks
- compose with inverse functions to produce identity function
- log or ln of both sides to calculate
- use power property of logs to solve for variables in exponents
- change an equation to solve for a variable using these tricks

- solve with continually compounded interest formula
- solve with the 4 forms of appreciation and depreciation formulas
- half lives
- population growth