Logarithimic and exponential equations Flashcards
1
Q
Exponential form is ?
A
f ( x ) = a ^ x
2
Q
a is called ?
x is called?
A
- The base
- It must be positive
- x is the index or exponent
3
Q
To undo log…..
A
To undo log take exponential
4
Q
To undo exponential…
A
To undo exponential take log
5
Q
Log A + Log B
A
= log AB
( a x b )
6
Q
Log A - Log B
A
A
= log _______
B
7
Q
Log (A) ^n
A
= n Log A
8
Q
a = ?
A
a = a ^ 1
9
Q
1 = ?
A
1 = a^ 0
10
Q
Log a A = ?
A
Log a A = 1
11
Q
Log a 1 = ?
A
Log a 1 = 0
12
Q
Log a A^ x = ?
A
Log a A^ x = x
13
Q
f ( x) = Log 10 x, the inverse ?
A
f ( x) = Log 10 x, the inverse of f ( x ) = 10
14
Q
f ( x) = Log e x, the inverse ?
A
f ( x) = Log 10 x, the inverse of f (x) = e ^ x
15
Q
Y = ab ^x
Transformed into a graph form
A
Log y =
log p Y = log p AB ^ x
- ( take Log to the base p of both sides )
log p Y =log p A + log p B ^ x - ( first law of Log )
log p Y = x log p B + Log p A - ( third law of Log)
Y = x log p B + log p A - ( where Y = log p y)
Represent in form Y = mx + c
M =log p B C = log p A
