# Precalculus 3.1-3.3 Test Outline

From Huben's Wiki

3.1 Exponential functions and their graphs

- graphs
- transformations of exponentials
- domain, range, intercept, asymptote

- natural base
- calculating interest (formulas are provided)
- growth and decay (formulas provided)

3.2 Logarithmic functions and their graphs

- common log (log base 10) and natural log (log base e, ln)
- logarithms ask a question: log
_{base}x means what power of the base is x? - logarithms are inverses of exponentials of the same base
- rewrite logarithms as exponentials
- properties
- log
_{b}1 = 0 - log
_{b}b = 1 - log
_{b}b^{x}= x and b^{logbx}= x (inverses!) - if log
_{b}x = log_{b}y, then x = y

- log
- graphs
- transformations of logarithms
- domain, range, intercept, asymptote

3.3 Properties of Logarithms

- change of base formula
- properties
- product
- quotient
- power

- expanding
- condensing