14. exponentuals and logarithms Flashcards
(13 cards)
1
Q
exponential functions and a is a constant
A
f(x) = a^x
2
Q
for all real values of x f(x) =
A
f(x) = e^x
fâ(x) = e^x
dy/dx = e^x
3
Q
logarithms are
A
inverse of exponential functions
4
Q
log a n = x
A
a^x = n
5
Q
multiplication law of logs
A
logax + logay = logaxy
6
Q
division law of logs
A
logax - logay = loga(x/y)
7
Q
power law of logs
A
loga(x^k) = kloga^x
8
Q
power law of logs when k = -1
A
loga(1/x) = loga(x^-1) = -logax
9
Q
a>0 log rule
A
logaa = 1
loga1 = 0
10
Q
whenever f(x) = g(x)
A
Logaf(x) = Logag(x)
11
Q
graph of y in x is a
A
reflection of the graph y=e^x in the line y=x
12
Q
e^inx =
A
in(e^x) = x
13
Q
how can straight line graph and log explore non linear trends
A
logy = n logx + loga
logy = logb x + loga
variable gradient variable constant intercept
