How Do You Solve Discrete Logarithm Problems for Different Bases and Primes?

In summary, the conversation is about solving a logarithmic equation with a base of 10 and a prime number. The speaker asks for guidance on how to solve the problem, and the responder requests for the original equation and the speaker's progress before providing a response.
  • #1
bmorgan
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0
How to solve log10000000 base is 10.
 
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  • #2
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?
Hello bmorgan. Welcome to PF !

It would help us answer your question for you to give the problem as it was given to you. It's very hard to tell what's being asked when you give us only pieces.

Also, according to the rules of this Forum, you need to show some effort towards solving the problem before we can respond. Let us know what you know and where you're stuck.
 
  • #3
Hi, thanks for replying. After i convert the original equation, what is next step?
 
  • #4
bmorgan said:
How to solve log22 for the prime p = 47, base is 10.
...
There's virtually no way to respond to this .

What is the question you were given ... WORD for WORD ?
 

FAQ: How Do You Solve Discrete Logarithm Problems for Different Bases and Primes?

What is a discrete logarithm?

A discrete logarithm is a mathematical concept that involves finding the exponent of a given number, called the base, that is needed to produce a specified result.

How is a discrete logarithm different from a regular logarithm?

The main difference between a discrete logarithm and a regular logarithm is that the base in a discrete logarithm is an element in a finite group, while the base in a regular logarithm is typically a real or complex number.

What is the importance of discrete logarithms?

Discrete logarithms have important applications in fields such as cryptography, number theory, and coding theory. They are used to solve various mathematical problems and provide a foundation for many algorithms.

Are there efficient algorithms for computing discrete logarithms?

Yes, there are various efficient algorithms for computing discrete logarithms, such as the baby-step giant-step algorithm, the Pollard's rho algorithm, and the index calculus algorithm. These algorithms have different time complexities and are used in different scenarios.

Are discrete logarithms easy to solve?

No, discrete logarithm problems are considered hard to solve. This means that there is no known efficient algorithm that can solve them in a reasonable amount of time. As the size of the group increases, the difficulty of solving a discrete logarithm problem also increases.

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