# 4.4&4.5 Logarithmic Functions Flashcards

1

Q

b is always a ____,_____ number

A

positive, real

2

Q

n is always____

A

positive

3

Q

b^e=n

A

log,b,n=e

4

Q

how to read it

A

log base b of n equals e

5

Q

logarithms are defined so that we can solve for the ___ in equations

A

exponent

6

Q

logarithmic functions are the _____ of ___ functions

A

inverses, exponential

7

Q

2 special logarithms

A

common log: log base 10.

natural log: log base e

8

Q

always make sure __ ____ ____ are there; add a ____ if needed

A

all 4 parts; ?

9

Q

write ln as

A

log base e

10

Q

whenever you are stuck,

A

switch the form

11

Q

asymptote of logarithmic functions

A

y-axis, x=0

12

Q

reflect over the line

A

x=y

13

Q

log of mn =

A

log of m+log of n

14

Q

log of m/n=

A

log of m-log of n

15

Q

log of m^n=

A

n log of m