Natural logarithms and exponentials Flashcards
1
Q
What are natural logarithms ?
A
Logs with a base of e.
2
Q
What is 1ne?
A
1.
If you have e and want e, you should multiply it by 1.
3
Q
How would you solve e^1-3x=5
A
Take the natural log of both sides. 1n e^1-3x=1n5 (1-3X) times 1ne=1n5 (1ne is 1 so) 1-3x=1n5 solve the rest as you would.
4
Q
How would you solve 1n(2x+1)=3
A
This means you want 2x+1 and you need 3 so
2x+1=e^3
Solve as you would normally.
5
Q
What is 1n(e^x)
A
x
6
Q
what is e^1nx?
A
x
7
Q
What is 1n(1)?
A
How long do you have to wait to get 1 times more the original amount that you already have?
No time at all, so it is 0.
8
Q
What would 1n(0.5) be?
A
How long would you have to wait for the amount you have to get 0.5 times bigger?
It will have to be negative time so it would be -1n(2)
9
Q
What is 1n(-x)?
A
It is impossible as you can’t have a negative amount of something.
10
Q
1np= x.
If you knew x, how would you find p?
A
e^x
