Definitions
Evaluating
Conversions
Log Rules/
Transformations
Transformations
Compound Interest
100
Term for the Number of payments per year
What is a compounding period
100
Solve log2525(2x+5)
(2x+5)
100
Convert from log to exponential form: log1550625=4
154=50625
100
Describe the transformation of the graph below(Original, vertical shift, horizontal shift, and if it flipped):
Original:|x|
Flip: yes
Vertical shift:down 5
Horizontal shift: left 3
100
In the Compound Interest formula, n is the number of compounding periods. Give three examples of compounding periods (In both term and compound periods).
Daily, Weekly, Bi-Weekly, Monthly, Bi-Monthly, Annual, Bi-Annual
200
This rule is used to expand a log using the division and subtraction operations
What is the Quotient Rule
200
Solve: 52x+5=625
log5625=2x+5
4=2x+5
-1=2x
x=-1/2
200
Convert from exponential to log form: 17-3=1 / 4913
log17 (1/4914) = -3
200
Expand the following log12 144/2x
log12 144 - log12 2 +log12 x
2 - log122 + log12x
200
What’s the equation that models the amount of money in an account with a 1% annual interest rate, compounded bi-weekly, with an initial investment of $ 1,750?
A=1750(1+.01/26)26t
300
What part or parts of a log equation can be negative?
What is the exponent
300
Solve: log109458 solve to the hundredths place
3.98
300
Convert from root to exponential: 13√(x+7)4
(x+7)4/13
300
What’s the equation for the following graph:
f(x) = - log (x+2) - 2
300
How much money would be in an account with this formula, after 12 years?
A = 1500(1+.10/12)12t
$4,955.47
400
This is the term for when a graph translates up, down, left, right or it flips
What is Transformation
400
Solve: log11 (x)=7
19,487,171
400
Convert from exponential to root: 125(x+2)/15
15√((125)(x+2))
400
Compress the following logs
log x + log x7 - log 2 + log 15
log (x8/30)
400
How long will it take for this account to reach $500,000?
A = 700(1+.003/3)3t
700(1+.003/3)3t = 500,000
700*(1.001)3t = 500,000
(1.001)3t=714.29
log1.001714.29 = 3t
6575.97 = 3t
t= 2191.99
ANSWER: 2192 years
500
These are the names of the three rules used to expand logarithms
What are the Product Rule, the Quotient Rule, and the Power Rule
500
Solve: 1312x-32=169
log13169=12x-32
2 = 12x -32
+32 +32
34 = 12x
17/6 = x
500
Convert from root to log from: 13√((x-15)5)=1,765
(x-15)7/11=2543
log(x-15)2543=7/11
500
Compress the following logs.
(Hint: You will be using all three rules for this problem).
log15 15 + log15 x - 6log15 5
log15 (15x/15625)
500
How much money would be in an account after 3 years that pays 2% interest, compounded weekly, with an initial investment of $2500?
2500(1+.02/52)52(3)
ANSWER= $2,654.56