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exp. & logs
| Question | Answer |
|---|---|
| when to check for extraneous solutions: | w/ LOGS! (cannot have a negative or '0' log) |
| make sure to write your answer you solve for in: | { } |
| how to write x-intercept vs zero: | x-intercept: as a point zero: { } |
| log e = | ln |
| log b(1) = | 0 |
| for exponential graphs, _______ is always the same! (yw) | domain |
| for log graphs, _______ is always the same! (yw) | range |
| asymtotes for exp vs logs | exp: y = # log: x = # |
| n = | # of times per year |
| annually: | n = 1 |
| quarterly: | n = 4 |
| Data points you will always have when graphing exponentials: | (0,1) (1, # of base) + 1 more |
| Data points you will always have when graphing logs: | (1,0) (# of base, 1) + 1 more |
| before you graph anything... | check if it is an exponential or log so you know what rules/information to apply! |
| the "e" values u must know: | e^0 = 1 e^1 = 2.718 e^2 = 7.389 |
| using "e" when graphing points and other info: | EXPONENTIAL (it is log when it is writting w/ "ln" and the x & y values are switched) (1,0) (2,718, 1) (7.389, 2) |
| reminder: | you can go off the graph a litte, as long as you write down the point and are not crazy far off the graph |
| negative log or "0" log = | undefined |
| changing to exponential/log form rule: | BAE |
| when you condense logs, multiply vs division go where? | multiply: always on the top division: always on the bottom |
| remember mrs. alwood's rule! | ± when YOU draw √ |
Created by:
acuda25