Pure Year 1 Unit 14 Flashcards
1
Q
Why is e special?
A
The derivative of e^x = e^x
2
Q
What is a^x = n as a log?
A
log(a)n = x
3
Q
log x + log y =
A
log xy
4
Q
log x - log y =
A
log x/y
5
Q
log x^k =
A
k * log x
6
Q
ln x =
A
log(e) x
7
Q
e^(ln x) =
A
ln e^x = x
8
Q
How can you use logs to understand non-linear data?
A
Mess around with the equation till you have a linear equation with logs, e.g. (log y = n * log x + log a) is the same as y = mx + c
9
Q
If y=ax^n then the graph of log y against log x will be
A
a straight line with gradient n and vertical intercept log a
10
Q
If y=an^x then the graph of log y against x will be
A
a straight line with gradient log n and vertical intercept log a
