1. Logarithms
1.1. Log base "b" of "argument"= "exponent"(logbx=y)
1.1.1. Notes; 3/14/29
1.2. the exponent that I must take the "base" to in order to get the "argument"
1.2.1. Notes; 3/14/19
1.3. log without a base; Common Log; base is 10
1.3.1. Notes; 3/14/19
1.4. log with a base of "e"; Natural Log
1.4.1. Notes; 3/14/19
2. More equations with Logs
2.1. Can't make the base equal, isolate the base/ exponent, convert to Log(logbx=y <--> b^y=x)
2.1.1. Notes; 3/15/19
3. Applications
3.1. Exponential model
3.1.1. ab^x; a= starting #, b=the rate, x= time/how long it takes.
3.2. Half Life
3.2.1. Decay model, how much it takes a quantity to half in size.
3.2.2. a(1/2)^x/H
3.2.2.1. x= the time gone by.
3.2.2.2. H= the time it takes to half.
3.3. Continuous
3.3.1. specifically says "Continuously"
3.3.2. P= Poe^rt; e= Euler's number, r= growth/decay % in decimal, t= time
3.4. All notes from "Exponential/ log Applications
4. Graphing Exponent
4.1. Asymptote
4.1.1. Y-Interecept
4.1.1.1. Notes; 3/5/19
4.2. Growth/Decay
4.2.1. determined by base; if greater than 1, its growth; if its less than 1, its decay
4.3. End Behavior
4.3.1. Notes; 3/5/19
4.4. Increasing/Decreasing
4.4.1. left to right
4.4.1.1. Notes; 3/5/19
4.5. Shape/Curve
4.5.1. specific to this function
4.5.1.1. Notes; 3/5/19
4.6. Parent Function
4.6.1. anchor point; (0,1)
4.6.1.1. Notes; 3/5/19
4.6.2. asymptote; y=0
4.6.2.1. Notes; 3/5/19
4.6.3. f(x)=ab^cx-h+k
4.6.3.1. Notes; 3/5/19
4.7. Vertical/ Horizontal/ Negative Flip
4.7.1. determined by negative in front of "b" and "x".
4.7.1.1. Notes; 3/5/19
5. Solving exponents without Logs
5.1. If bases are equal, then the exponent are equal
5.1.1. Notes; 3/12/19