C2 Exponentials and Logarithms Flashcards
1
Q
x^0 = ?
A
- Always. Even 0^0.
2
Q
x^-n = ?
A
1/x^n
3
Q
loga(n) = x
is equivalent to what?
A
a^x = n
4
Q
loga(1) = ?
A
0
5
Q
loga(a) = ?
A
1
6
Q
loga(x*y) = ?
A
loga(x) + loga(y)
7
Q
loga(x) + loga(y) = ?
A
loga(x*y)
8
Q
loga(x/y) = ?
A
loga(x) - loga(y)
9
Q
loga(x) - loga(y) = ?
A
loga(x/y)
10
Q
loga(x)^k = ?
A
k*loga(x)
11
Q
k*loga(x) = ?
A
loga(x)^k
12
Q
loga(1/x) = ?
A
-loga(x)
13
Q
-loga(x) = ?
A
loga(1/x)
14
Q
loga(x) = ?
change the base to b
A
logb(x)/logb(a)
15
Q
loga(b) = ?
change the base to b
A
1/logb(a)