7.4-7.5 Flashcards
Exponential form and log form
Ex- base ^exponent=#
Log- log(base)^#=exponent
What does evaluate
Log(3)^81 mean
Means 3 to what power gives you 81
Common log base
Log base 10
What is natural base
Log e
Inverse ln
Log e
Logarithmic function
Y= alog (X-h) +k
B
How to find parent of log function
Y= log base to x
So base^y=x
How to graph log function
Base^y=x
Plug in y points
Plot them
Translate h and k
0<b></b>
Down and away from y
B>1
Up and away from y
Log b ^(m*n) =
Log b m+ log b n
Add
Log b (m/n) =
Log b m- log b n
Subtract
Log h m^n =
N log b m
Distribute
Exponent just goes to front
Expand order
Quotient
Product
Power
Condense order
Power
Product
Quotient
Fix log b 3/7
Log b 3/7
= log b 3- log b 7
Change of base formula
Log c a =
Log b a/ log b c