# Logarithimic and exponential equations Flashcards

Exponential form is ?

f ( x ) = a ^ x

a is called ?

x is called?

- The base
- It must be positive
- x is the index or exponent

To undo log…..

To undo log take exponential

To undo exponential…

To undo exponential take log

Log A + Log B

= log AB

( a x b )

Log A - Log B

A

= log _______

B

Log (A) ^n

= n Log A

a = ?

a = a ^ 1

1 = ?

1 = a^ 0

Log a A = ?

Log a A = 1

Log a 1 = ?

Log a 1 = 0

Log a A^ x = ?

Log a A^ x = x

f ( x) = Log 10 x, the inverse ?

f ( x) = Log 10 x, the inverse of f ( x ) = 10

f ( x) = Log e x, the inverse ?

f ( x) = Log 10 x, the inverse of f (x) = e ^ x

Y = ab ^x

Transformed into a graph form

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