# 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

16
Q

expand:

A

split into individual parts

17
Q

condense:

A

condense to 1 log expression

18
Q

remember the ____ in condensing

A

= sign

19
Q

change-of-base formula

A

use common or natural logarithms to evaluate

20
Q

every log expression can be expressed as an ___ function

A

exponential