Rearranging a Logarithm Functon

  • Thread starter Thread starter SHRock
  • Start date Start date
  • Tags Tags
    Logarithm
Click For Summary
SUMMARY

The discussion focuses on rearranging the logarithmic function defined by the equation y = ae^x to isolate the variable 'a'. The solution process involves manipulating the equation to express 'a' in terms of 'y' and 'x'. The final rearranged form is a = ye^{-x}, demonstrating the relationship between these variables through logarithmic properties.

PREREQUISITES
  • Understanding of exponential functions and their properties
  • Familiarity with logarithmic identities, particularly the natural logarithm
  • Basic algebraic manipulation skills
  • Knowledge of inverse functions
NEXT STEPS
  • Study the properties of natural logarithms and their applications
  • Learn about exponential growth and decay models
  • Explore advanced algebraic techniques for rearranging equations
  • Investigate the applications of logarithmic functions in real-world scenarios
USEFUL FOR

Students studying algebra, particularly those tackling exponential and logarithmic functions, as well as educators looking for examples of equation manipulation techniques.

SHRock
Messages
8
Reaction score
0

Homework Statement



y=ae^x

Homework Equations




rearrange to find a

The Attempt at a Solution



y/a=e^x

x=ln(y/a)

x=lny-lna

lny-x=lna

now how do I rearrange/inverse to seclude a
 
Physics news on Phys.org
ln(y)-x = ln(a) \Rightarrow\; a = e^{ln(y)}e^{-x} = ye^{-x}
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
1K
Replies
4
Views
3K
Replies
3
Views
2K
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
32K
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K