14. Exponentials And Logarithms Flashcards
1
Q
What does e^x differentiate to?
A
e^x
2
Q
What does e^kx differentiate to?
A
Ke^kx
3
Q
What is loga^n = x equivelent ro?
A
a^x=n
4
Q
What is the log multiplication law?
A
loga^x + loga^y = loga^(xy)
5
Q
What is the log division rule?
A
loga^x - loga^y =loga^(x/y)
6
Q
What is the log power rule?
A
loga^(x^y)= yloga^x
7
Q
What is loga^a
A
1
8
Q
What is loga^1
A
0
9
Q
What is the relationship between y=e^x graph and lnx graph?
A
y=ln x is a reflection of y=e^x is the line y=x
10
Q
What is e^lnx equal to?
A
ln(e^x) and X
11
Q
Describe features of a graph y=ax^n?
A
logy=nlogx +log a X-axis= log x Y-axus=logy n is the gradient log a is y intercepy
12
Q
Describe features of graph y=ab^x graph
A
logy=x(logb) +loga X-axis = x Y-axis= logy Gradient logb Y intercept log a
