S2: Exponentials and Logs II Flashcards
(8 cards)
1
Q
e =
A
approx. 2.72…
2
Q
log (number greater than 1)
A
POSITIVE
3
Q
log (number less than 1 but greater than 0)
A
NEGATIVE
4
Q
How do you get from y=b^x to y=a^x
A
Dilated by a factor of 1/logb(a)
5
Q
Change of base formula for when we are introducing something new
A
loga(x) = logb(x)/logb(a)
6
Q
Rewrite log2(x) as a log expression of base 5
A
introducing something new > change of base formula
loga(x) = logb(x)/logb(a)
log2(x) = log5(x)/log5(2)
7
Q
Change of base formula for when changing base of log when that something is already present in the log
A
loga(b) = 1/logb(a)
8
Q
Rewrite logx(e) as a log expression of base e
A
loga(b) = 1/logb(a)
logx(e) = 1/loge(x)
