Formula? Simple just a check of my answer.

  • Thread starter andrewkg
  • Start date
  • Tags
    Formula
In summary, the conversation is about solving for q in the equation Q = r*s^t by taking the logarithm of both sides. The answer is q = t*ln(s)+ln(r). The values of b and m for the linear function q = b+mt are b = ln(r) and m = ln(s). The conversation also includes a discussion about using subscripts and understanding log laws.
  • #1
andrewkg
86
0
Q.
Consider the exponential function Q=r*s^t. Letting q= ln(Q), show that q is a linear function of t by writing it in the form q=b+mt. State the values of b and m.

Ans.

q=(q0-(ln(r*S^t1)-ln(r*s^t2)*t0))-(ln(r*S^t1)-ln(r*s^t2)T0)*t

Im pretty sure its right my main question is about the subscripts.
 
Mathematics news on Phys.org
  • #2
andrewkg said:
Q.
Consider the exponential function Q=r*s^t. Letting q= ln(Q), show that q is a linear function of t by writing it in the form q=b+mt. State the values of b and m.

Ans.

q=(q0-(ln(r*S^t1)-ln(r*s^t2)*t0))-(ln(r*S^t1)-ln(r*s^t2)T0)*t

Im pretty sure its right my main question is about the subscripts.

Wait where did all those subscripts come from. They aren't in the original question.
 
  • #3
Well they aren't used in the original question, but when i looked at the value of m (ln(r*s^t)-ln(r*s^t))/t-t) and that would come up with a 0 in the denominator which is undefined plus the value of m is not 0. So i used the subscripts to show a variation in the value of t so that one could reach an actual value of m. is there another way to do this?
 
  • #4
andrewkg said:
Well they aren't used in the original question, but when i looked at the value of m (ln(r*s^t)-ln(r*s^t))/t-t) and that would come up with a 0 in the denominator which is undefined plus the value of m is not 0. So i used the subscripts to show a variation in the value of t so that one could reach an actual value of m. is there another way to do this?

Have you tried taking the logarithm of both sides of your original equation, Q = r st? The left hand side is just q = lnQ, but what about the right hand side? (Hint: use the rules of logarithms).
 
  • #5
well the right is just ln(r*s^t). I have that in the formula, but i thought it would be good or necessary to specify the value of q and t. Is using subscripts wrong.
 
  • #6
andrewkg said:
well the right is just ln(r*s^t). I have that in the formula, but i thought it would be good or necessary to specify the value of q and t. Is using subscripts wrong.

The point of the question is whether you understand your log laws.
 
  • #7
well I know the log laws i even reviewed them. but is the answer wrong or ?
 
  • #8
because i tested the formula and it worked soo... I am just a bit confused about what do do from here
 
  • #9
andrewkg said:
well I know the log laws i even reviewed them.

I said it is to test whether you understand your log laws. You seem to be just going by rote.
On top of that, you don't seem to be understanding what the question is asking.

but is the answer wrong or ?

It's wrong. You are over-complicating the question. Start again and think about what we told you.

Another Hint: This is the source of your problem:
Well they aren't used in the original question, but when i looked at the value of m (ln(r*s^t)-ln(r*s^t))/t-t) and that would come up with a 0 in the denominator which is undefined plus the value of m is not 0.
 
Last edited:
  • #10
Oh I see. q=lnr*s^t. so q=t*(lnr*s) so m=ln r*t and b=0. Thanks a ton pwsnafu, i tend to make questions a lot more difficult than need be and it really helps to have someone point it out a few times.
 
  • #11
wait nvm the answer is q= t*ln(s)+ln(r) now its right
 

What is a formula?

A formula is a mathematical expression that shows the relationship between different quantities. It is typically written using symbols and mathematical operations.

What is the purpose of using formulas?

The purpose of using formulas is to solve problems and make calculations in various fields such as math, science, finance, and engineering. Formulas help us understand and predict the behavior of different variables.

How are formulas created?

Formulas are created through research, experimentation, and observation. Scientists and mathematicians use data and evidence to develop formulas that accurately describe a particular phenomenon or relationship.

What are the different types of formulas?

There are various types of formulas, such as algebraic formulas, geometric formulas, statistical formulas, and scientific formulas. Each type serves a different purpose and is used in different fields of study.

Can formulas be modified or customized?

Yes, formulas can be modified or customized to fit specific situations or scenarios. Scientists and mathematicians often adjust formulas to account for different variables or to improve their accuracy. However, the fundamental principles and relationships within a formula remain the same.

Similar threads

  • Engineering and Comp Sci Homework Help
Replies
1
Views
899
Replies
6
Views
1K
Replies
3
Views
943
  • Atomic and Condensed Matter
Replies
3
Views
766
Replies
5
Views
976
  • Engineering and Comp Sci Homework Help
Replies
4
Views
1K
  • Differential Equations
Replies
2
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
4
Views
3K
  • Advanced Physics Homework Help
Replies
0
Views
130
  • Thermodynamics
Replies
19
Views
1K
Back
Top