**Expone**

**nt**

**s**

Definitio

Definitio

__n__: If n is a positive integer an x is a numerical base, then

(n times)

__Exponential Rules__

__Radicals as Exponents__

__Exponential Functions__

Red - When x is a negative exponent

Blue - When x is a positive exponent2. Shifting the Graph:

g(x) = f(x-2) shift 2 righth(x) = f(x) - 2 shift 2 down

j(x) = -f(x) reflection in the x axis

__Radioactive Decay__

t = time, m = initial mass, h = half life

__Natural Base e__

- e is a irrational number and is derived from computation:
- e can be approximated using the following expression:

- To imput into your calcuter, hit 2nd LN

Compounding Countinuously

__ __**Logarithm-** An exponent

(log to the base a of x)

Properties of logs

__Log bas__

__e e (ln)__

a=ln(a)

__Change of Base Formula__

__Exponential Function__

The inverse of y= is y=x

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__:__

**Example**QuestionsUnless other directions are given, solve for x:

- Expand as a function of individual logs.
- Graph
- Given, for what value of t will P be greater than 200,000? (round to the thousandth.)

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## 2 comments:

Good start!

I like how you were able to include some screenshots of pdf's downloaded from Blackboard. Very resourceful.

You need to remove some whitespace from your post!

Your "properties of logs" section is a bit hard to read, and could use some better spacing.

I also think you should include the log laws, for example log(ab) = log a + log b.

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