Can Someone Help Me Rearrange This Astrophysics Equation?

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    Astrophysics
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Discussion Overview

The discussion revolves around rearranging an astrophysics equation related to magnitudes, specifically the equation m-M=5log10(d/10) to solve for distance d. Participants share their approaches to manipulating the equation and express their experiences with the concept of magnitudes in astrophysics.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant requests assistance in rearranging the equation m-M=5log10(d/10) to isolate d.
  • Another participant suggests dividing by 5 and then applying the exponential function to eliminate the logarithm, leading to the equation 10^{(m-M)/5} = d/10.
  • A subsequent reply expresses appreciation for the help provided in the rearrangement process.
  • Some participants question the relevance of the equation to astrophysics, with one noting that it pertains to the calculation of magnitudes, which can be challenging for new students.
  • Another participant comments on the confusion surrounding the concept of magnitudes, mentioning that even experienced astronomers can struggle with the terminology.
  • One participant describes magnitude as an obscure measure of brightness, referencing a mathematical relationship (2 to the fifth power) to illustrate its complexity.

Areas of Agreement / Disagreement

Participants express a mix of agreement on the technical aspects of rearranging the equation, but there is disagreement regarding the clarity and relevance of magnitudes in astrophysics, with some finding it confusing and others acknowledging its importance.

Contextual Notes

Some participants highlight the challenges associated with understanding magnitudes, suggesting that the discussion may be limited by varying levels of familiarity with the topic among participants.

Who May Find This Useful

This discussion may be useful for students new to astrophysics, particularly those struggling with the concept of magnitudes and equation manipulation in this context.

log(3.14)
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I am really quite terrible at rearranging equations, I wonder if anyone could help?

How can I rearrange : m-M=5log10(d/10) to give d=?

Thanks for any imput.
 
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First divide by 5, [itex](m-M)/5=\log_{10}(d/10)[/itex]. To get get rid of the log_10 you take 10^ on both sides.

[tex] 10^{\frac{m-M}{5}}=\frac{d}{10}[/tex]

Now multiply by 10.
 
Cheers!:smile: This helps a lot!
 
what is this simple calculation has to do with "Astrophysics" ...?
 
peeyush_ali said:
what is this simple calculation has to do with "Astrophysics" ...?

This is the calculation for magnitudes. It's the bane of all new undergraduate astrophysics students :-p
 
Stupid backwards magnitudes! I've seen even seasoned astronomers get in a verbal tangle using the wrong adjective to describe some magnitude (i.e. 'as high as' instead of 'as low as' or vice versa). No wonder beginners have trouble...
 
Magnitude is a pretty obscure and confusing measure of brightness. Think 2 to the fifth power.
 

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