Exponentials and Logarithms Flashcards
1
Q
Draw and describe the graph y = ax
A
2
Q
Draw and describe the graph y = e x
A
3
Q
What is the gradient of ekx ?
A
- dy/dx = kekx
4
Q
What does log mean?
A
- what power do I raise a to, to get x?
5
Q
Show that e and ln are inverse of each other
A
6
Q
Draw and describe the graph of lnx
A
7
Q
What are the laws of logs?
A
8
Q
How do you solve equations of the form ax = b?
A
- you need to use log(xk) = klog(x)
- take the log of both sides
- use the rule to bring the power to the front
- solve equation as normal
