4.4&4.5 Logarithmic Functions Flashcards
b is always a ____,_____ number
positive, real
n is always____
positive
b^e=n
log,b,n=e
how to read it
log base b of n equals e
logarithms are defined so that we can solve for the ___ in equations
exponent
logarithmic functions are the _____ of ___ functions
inverses, exponential
2 special logarithms
common log: log base 10.
natural log: log base e
always make sure __ ____ ____ are there; add a ____ if needed
all 4 parts; ?
write ln as
log base e
whenever you are stuck,
switch the form
asymptote of logarithmic functions
y-axis, x=0
reflect over the line
x=y
log of mn =
log of m+log of n
log of m/n=
log of m-log of n
log of m^n=
n log of m
expand:
split into individual parts
condense:
condense to 1 log expression
remember the ____ in condensing
= sign
change-of-base formula
use common or natural logarithms to evaluate
every log expression can be expressed as an ___ function
exponential
