Logarithmic plots

  • Thread starter ay2k
  • Start date
  • #1
ay2k
29
0
[SOLVED] Logarithmic plots...

Homework Statement



use logarithmic plots to test exponential and power law variations

This statement appears in the Cambridge A'Level Syllabus

Can somebody please explain what does this statement require from the student?

Helpful links would be highly appreciated




Homework Equations



not relevent

The Attempt at a Solution



not relevent
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,838
256
use logarithmic plots to test exponential and power law variations

Hi ay2k! :smile:

It just means do a graph with axes showing log(y) and x, or log(y) and log(x), instead of y and x.

The object is to get the students to choose a set of axes (a "plot") in which their experimental data should lie on a straight line! :biggrin:
 
  • #3
dynamicsolo
Homework Helper
1,648
4
There will, in fact, be two different versions you will need. The one tiny-tim describes will give a straight line for power-law functions, those which have the form y = A(x^n) ; such plots are (or at least used to be) called log-log plots. The other type uses log(y) vs. x , which gives a straight line for exponential functions, having the form y = C(e^n) ; these are called semi-log or log-linear plots.
 
  • #4
ay2k
29
0
with exponential cases...we use ln right?not lg i suppose...

and how do we know that when to use ln or lg in exp case?
 
  • #5
ay2k
29
0
with exponential cases...we use ln right?not lg i suppose...

and if so, how do we know that when to use ln or lg in exp case?
 
  • #6
tiny-tim
Science Advisor
Homework Helper
25,838
256
with exponential cases...we use ln right?not lg i suppose...

and if so, how do we know that when to use ln or lg in exp case?

Hi ay2k! :smile:

You can use log or ln, it doesn't matter.

If you have log tables, use log.

If you have ln tables, use ln.

If you have both, use the base 10 one (I forget which way round it is! :rolleyes:), since that's easier! :smile:
 
  • #7
dynamicsolo
Homework Helper
1,648
4
In one sense, it doesn't matter. Whatever base you use for the logarithm, a general exponential function y = C·(a^n) will still give a straight line on a semi-log plot, since a logarithm to any base of a constant a will be a constant as well. People use ln or log_10 according to their taste or the standards of their field; mathematicians and physicists generally use natural logarithms, while most other scientists and engineers prefer common (base 10) logarithms.
 
  • #8
ay2k
29
0
thankyou...my problem is solved...
 

Suggested for: Logarithmic plots

  • Last Post
Replies
8
Views
254
Replies
4
Views
245
  • Last Post
Replies
3
Views
225
  • Last Post
Replies
7
Views
410
  • Last Post
Replies
5
Views
569
  • Last Post
Replies
5
Views
736
Replies
4
Views
522
  • Last Post
Replies
4
Views
596
Replies
3
Views
492
Replies
3
Views
579
Top