Unit 10 Exam Flashcards
1
Q
x^a/b
A
(^b√x)^a
2
Q
x^1/n
A
^n√x
3
Q
x^0
A
1 (if x ≠ 0)
4
Q
1/x^-n
A
x^n
5
Q
x^-n
A
1/x^n
6
Q
(x/y)^a
A
x^a/y^a
7
Q
(x^a)^b
A
x^ab
8
Q
x^a/x^b
A
x^a-b
9
Q
(xy)^a
A
x^ay^a
10
Q
x^a * x^b
A
x^a+b
11
Q
graph logbase(x)
A
as base gets smaller, the y value approaches infinity faster
12
Q
log(ax)
A
horizontally compressed by a factor of 1/a
13
Q
log(x+a)
A
if a is positive: move left
if a is negative: move right
14
Q
-log(x)
A
vertical flip
15
Q
log(-x)
A
horizontal flip
16
Q
log(x)+k
A
shift up if k > 0
17
Q
logb(M) + logb(N)
A
logb(MN)
18
Q
logb(M) - logb(N)
A
logb(M/N)
19
Q
logb(M^k)
A
k logb(M)
20
Q
loga(x)
A
logb(x)/logb(a)
21
Q
logb(x)/logb(a)
A
loga(x)
22
Q
logb(x)= a
A
b^a=x
23
Q
b^logb(x)
A
x
24
Q
logb(b^x)
A
x
25
Q
e^lnx
A
x
26
Q
ln e^x
A
x
27
Q
x^0
A
1
28
Q
(a10^x)(b10^y)
A
(a)(b)*10^(x+y)
29
Q
(a10^x)/(b10^y)
A
(a)/(b)*10^(x-y)
30
Q
(a10^x)-(b10^y)
A
shift either parenthesis to have the same exponent (x)
a-b * 10^x
