14 logarithms and exponentials Flashcards
1
Q
What is an exponential function?
A
y=a*
2
Q
Is e a rational or irrational number?
A
irrational
3
Q
What is e* differentiated?
A
e*
4
Q
How do you differentiate a exponential with ‘e’?
A
multiply by the coefficient of the power, you do not need to reduce the power
5
Q
What is a(b) = c in logarithm form?
A
log(a)c=b
6
Q
What can log to the base 10 also be written as?
A
logx or lgx
7
Q
What can log to the base ‘e’ be written as?
A
lnx, natural logarithm
8
Q
What does log(a*) equal?
A
*
9
Q
How do you add logarithms?
A
log(a) + log(b) = log(ab)
10
Q
How do you subtract logarithms?
A
log(x) - log(y) = log(x/y)
11
Q
What does log(x)* equal?
A
*log(x)
12
Q
When is log(x) valid?
A
when is is a real number bigger then 0
13
Q
How would you make y=ax* a linear relationship?
A
use logarithms on both sides, then follow log rules to put in y=c+mx
