Simple algebra-calculus question

  • Thread starter Thread starter lifelearner
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on the algebraic manipulation required to simplify an equation in a homework problem. Specifically, the participant seeks clarification on how to eliminate the variable "L" from equation A1 by substituting "C" from equation A2. Additionally, there is confusion regarding the transformation of the exponents, alpha and beta, into ratios, which the participant believes may involve logarithmic functions. The conversation emphasizes the importance of understanding algebraic techniques and logarithmic properties in solving such problems.

PREREQUISITES
  • Algebraic manipulation techniques
  • Understanding of logarithmic functions
  • Familiarity with exponents and their properties
  • Basic calculus concepts
NEXT STEPS
  • Study algebraic substitution methods in equations
  • Learn about logarithmic identities and their applications
  • Explore the properties of exponents in algebra
  • Review calculus fundamentals related to algebraic functions
USEFUL FOR

Students tackling algebra and calculus problems, educators teaching algebraic concepts, and anyone seeking to improve their mathematical manipulation skills.

lifelearner
Messages
12
Reaction score
0
1. Homework Statement , and relevant equations

How is A6 arrived at and *how* did they get the "Q" in A6?
2gydmhv.jpg
2isb8jk.jpg


Homework Equations



See above
3. The Attempt at a Solution

Objective: Rid A1 of L. They simply substituted "C" in A2 into A1. But how did they get rid of the L? I don't quite get the algebraic manipulation...please help
 
Physics news on Phys.org
What I specifically do not understand is how the exponents, alpha and beta, have been manipulated to be ratios. The only way I think you can do that is by using logarithms, but I do not quite know how.

Anyone have any ideas?
 
Last edited:

Similar threads

Very tricky line of people problem
  • · Replies 8 ·
Replies
8
Views
2K
Help Understanding A Paper - Brachistochrone With Friction
  • · Replies 2 ·
Replies
2
Views
2K
Optimizing Sudoku Determinants: Finding the Minimum and Maximum Values
  • · Replies 1 ·
Replies
1
Views
2K
Trouble determining the Fourier Cosine series for a Function
  • · Replies 4 ·
Replies
4
Views
2K
Difficult Separable Integration Problem
  • · Replies 5 ·
Replies
5
Views
2K
Using logarithms in vector Calculus
  • · Replies 2 ·
Replies
2
Views
2K
Integrate sin(2sinh(3x)): Solutions & Tips
  • · Replies 1 ·
Replies
1
Views
1K
Show there exists a smooth (bump) function....
  • · Replies 11 ·
Replies
11
Views
5K
How to integrate this function?
  • · Replies 3 ·
Replies
3
Views
2K
Solve Envelope Amplitudes Homework
  • · Replies 2 ·
Replies
2
Views
2K