Chapter 4 logs Flashcards
1
Q
Exponent Rules
A
- x^n + x^m = x^n+m
- (x^n)^m = x^n*m
- n^-n = 1/x^n
2
Q
Exponential form
A
f(x) = ab^x
a cannot equal 0
b is positive and cannot equal 1
3
Q
Domain of exponential
A
all real numbers
4
Q
Range of exponential
A
(0, infinity)
5
Q
Rules of exponential
A
HA: y = 0, VA: none, *does not intersect x-axis
6
Q
Compound interest:
A
A(t) = p (1 + r/n)^ nt A: end Amount P: Starting value r: rate (decimal percentage) n: number of times interest is compounded
7
Q
Annually
A
( 1 + 1/1 )^1
8
Q
Semiannually
A
( 1 + 1/2)^2
9
Q
Quarterly
A
( 1+ 1/4)^4
10
Q
Monthly
A
( 1+ 1/12)^12
11
Q
Daily
A
( 1+ 1/365)^365
12
Q
Hourly
A
(1+ 1/8760)^8760
13
Q
Continuous growth
A
A(t) = ae^n
14
Q
Business compounding
A
A(t)= Pe^n
15
Q
e and ln
A
inverses of each other
