What Is the Discrete Logarithm of 100000000 in Base 10?

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    Discrete Logarithm
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Discussion Overview

The discussion revolves around the calculation of discrete logarithms, specifically addressing the discrete logarithm of 100000000 in base 10 and a related problem involving log22 for a prime modulus. The scope includes mathematical reasoning and problem-solving techniques related to logarithms and modular arithmetic.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant asks how to solve log100000000 in base 10, indicating a need for clarification on logarithmic concepts.
  • Another participant presents a different problem involving log22 for a prime modulus, suggesting the use of Fermat's and Euler's theorems for solving exponent problems.
  • A participant expresses confusion over the different problems being discussed and questions the clarity of the original post, implying that the first problem is more complex than the second.
  • There is a challenge to the understanding of logarithms, with a participant asking if the original poster knows what "logarithm base 10" means and prompting them to consider the power of 10 that equals 100000000.
  • A light-hearted remark is made regarding the original poster's approach, indicating a playful tone in the discussion.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there is confusion regarding the original problem and differing opinions on the complexity of the problems presented. Multiple competing views remain regarding the understanding and approach to the logarithmic calculations.

Contextual Notes

The discussion includes assumptions about participants' familiarity with logarithmic concepts and theorems, which may not be uniformly shared. There are also unresolved questions about the clarity of the problems being discussed.

bmorgan
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How to solve log100000000, base is 10.
 
Last edited:
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bmorgan said:
How to solve log22 for the prime p = 47, base is 10. I can convert this to 10^x = 22(mod 47). How to solve this problem?

Hey bmorgan and welcome to the forums.

Are you aware of Fermats theorem and Eulers theorem for exponent problems?

Also are you doing this as part of structured coursework/research or as something akin to self-study?
 
Boy, am I confused!
bmorgan appears to have written
How to solve log100000000, base is 10.
but chiro quotes
How to solve log22 for the prime p = 47, base is 10. I can convert this to 10^x = 22(mod 47). How to solve this problem?
I really wish people would not edit quite so heavily!

But the original problem posted is certainly non-trivial while the new one is, to put it simply, trivial- at least to anyone who would be expected to solve the first problem.

bmorgan, do you know what "logarithm base 10" means?

100000000 equals 10 to what power?
 
Naughty boy mr bmorgan!
 

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