Understanding Logs: Learn How to Calculate Log_10(n)

  • Context: Undergrad 
  • Thread starter Thread starter quddusaliquddus
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Discussion Overview

The discussion revolves around understanding how to derive a formula involving logarithms, specifically the expression n*(9/10)^log_10(n), in relation to the pattern of nines in the first n numbers. The scope includes conceptual clarification and mathematical reasoning.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Main Points Raised

  • One participant seeks assistance in understanding how to incorporate logarithms into a formula related to counting nines in numbers.
  • Another participant suggests graphing the number of nines against n and fitting a curve, indicating that the relationship may not be intuitive and could require computational tools.
  • Subsequent posts express a desire to delete the thread, with one participant apologizing for any perceived inconvenience.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as the initial inquiry remains unresolved and later posts shift focus away from the mathematical question.

Contextual Notes

Participants do not clarify the assumptions behind the formula or the specific context in which the logarithmic relationship is applied, leaving some aspects of the discussion open to interpretation.

quddusaliquddus
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Hi.
How would I go from seeing the pattern in the number of nines in the first n numbers, to writing the following formulae for it:

n*(9/10)^log_10(n)

I don't get how to put the log in (or how it works). Sorry, it is an easy question. Please help.
 
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One method would be to draw a graph of the number of 9s vs the number n, then fit a curve to it. This would, I think, require a computer since this is obviously not an intuitive relationship.
 
I want to delete this thread: Don't know how to!
 
way you want to delete it ? :confused:
 
I don't need the answer...pls dnt ask y - loong story i'd rather not say.

I apologise for wasting your time.
 

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