# Logarithm Problem Solving

For example, consider (Z ≡ 1 (mod 17), these are the only solutions.

For example, consider (Z ≡ 1 (mod 17), these are the only solutions.

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The kth power of one of the numbers in this group may be computed by finding its kth power as an integer and then finding the remainder after division by p.More sophisticated algorithms exist, usually inspired by similar algorithms for integer factorization.These algorithms run faster than the naïve algorithm, some of them linear in the square root of the size of the group, and thus exponential in half the number of digits in the size of the group..pass_color_to_child_links a.u-inline.u-margin-left--xs.u-margin-right--sm.u-padding-left--xs.u-padding-right--xs.u-relative.u-absolute.u-absolute--center.u-width--100.u-flex-inline.u-flex-align-self--center.u-flex-justify--between.u-serif-font-main--regular.js-wf-loaded .u-serif-font-main--regular.amp-page .u-serif-font-main--regular.u-border-radius--ellipse.u-hover-bg--black-transparent.web_page .u-hover-bg--black-transparent:hover. Content Header .feed_item_answer_user.js-wf-loaded . El Gamal encryption, Diffie–Hellman key exchange, and the Digital Signature Algorithm) and cyclic subgroups of elliptic curves over finite fields (see Elliptic curve cryptography).While there is no publicly known algorithm for solving the discrete logarithm problem in general, the first three steps of the number field sieve algorithm only depend on the group G, not on the specific elements of G whose finite log is desired.cyclic groups with order of the Oakley primes specified in RFC 2409.The Logjam attack used this vulnerability to compromise a variety of Internet services that allowed the use of groups whose order was a 512-bit prime number, so called export grade. The Logjam authors speculate that precomputation against widely reused 1024 DH primes is behind claims in leaked NSA documents that NSA is able to break much of current cryptography.A general algorithm for computing log a in finite groups G is to raise b to larger and larger powers k until the desired a is found.This algorithm is sometimes called trial multiplication.

• ###### Logarithm Equation Calculator - Calculator Soup

Calculator Use. This calculator will solve the basic log equation logbx = y for any one of the variables as long as you enter the other two. The logarithmic.…

• ###### Sample Exponential and Logarithm Problems 1 Exponential.

Sample Exponential and Logarithm Problems. 1 Exponential Problems. Example 1.1 Solve. 1. 6. −3x−2. = 36x+1. Solution Note that. 1. 6. = 6−1 and 36 = 62.…

• ###### Logarithmic Functions – She Loves Math

Let's just jump in and trying some solving. There are the basic ways to solve log problems 1. Use the.…

• ###### Discrete logarithm - Wikipedia

In the mathematics of the real numbers, the logarithm logb a is a number x such that bx = a. These are instances of the discrete logarithm problem. Other base-10. From the example above, one solution is k = 4, but it is not the only solution.…

• ###### Symbolab - Math solver - Apps on Google Play

Your private math tutor, solves any math problem with steps! Equations, integrals, derivatives, limits and much more. Steps require an in-app subscription…

• ###### What is a real-world problem someone might have that using a.

For many many years before the arrival of low cost portable calculators logarithms were used to build slide rulers that could do multiplications.…

• ###### How to Solve Logarithms With Different Bases Sciencing

Using the change of base formula, solve logarithm problems that initially incllude bases other than 10 or e.…