Understanding Logs: Learn How to Calculate Log_10(n)

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The discussion revolves around understanding how to derive the formula n*(9/10)^log_10(n) to calculate the number of nines in the first n numbers. The user expresses confusion about incorporating logarithms into the formula and seeks clarification. A suggested method involves graphing the relationship between the number of nines and n, although it may require computational tools for accuracy. The user later expresses a desire to delete the thread, indicating a change of mind about needing assistance. Overall, the conversation highlights the challenges of grasping logarithmic concepts in mathematical patterns.
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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