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Product
logb + logb = logb(m*n)

Example of Product log2^4 + log2^8
 1. 2^x = 4
 x=2
 2. 2^x = 8
 x=3
 2 + 3 = 5
 ANSWER: log2^32 = 5

Quotient
logb^m  logb^n + logb(m/n)

Example of Quotient log2^8  log2^4
 1. 2^x = 8
 x = 3
 2. 2^x = 4
 x = 2
 3  2 = 1
 3. 8/4 = 2
 ANSWER: log2^2 = 1

Power
logb^m^^p = P(logb^m)

Example of Power
 log3^729^^3 = 3(log3^729)
 1. 3^x = 729
 x = 6
 2. 6 * 3 = 18
 ANSWER: x = 18

Change of Base Formula
 logb^m = loga^m/loga^b
 a = new base

Example of Change of Base Formula
 log3^23
 1. 3^x = 23
 2. log^23/log^3 ~ 2.85
 x ~ 2.85
 ANSWER: 3^2.85 ~ 22.89

Exponential Function
Give meanings of letters
 f(x) = b^x
 bbase, constant
 xexponent, independent variable
 b>0, b doesn't equal 1

When you are given an exponential fuction with no (x) what do you do?
You fill (x) in with random numbers.

If you aren't given an (x) in an exponential function how do you write the domain?
You write "all real numbers."

What does domain stand for and what does range stand for?
 Domain x value
 Range y value

What happens to the domain and range in an inverse?
They switch places.

Exponential growth
 f(x) = ab^x
 a>0 and b>0
 The function increases as x increases.

Exponential Decay
 When 0<b<1
 The function decreases as x increases.

Does this show exponential growth or decay? f(x) = 1.5^x
Exponential Growth

Does this show exponential growth or decay? f(x) = (.8^x)
Exponential growth because the base, .8 is less than 1.

