MHB How to Simplify this Complex Logarithm Expression?

AI Thread Summary
The discussion revolves around simplifying the complex logarithmic expression $$$ ( \log_{a}(b) + \log_{b}(a) + 2) (\log_{a}(b) - \log_{ab}(b)) \log_{b}(a) - 1 $$$. Participants emphasize the importance of showing prior efforts and understanding of the problem to receive effective help. The forum encourages users to clarify their questions and provide context to facilitate better responses. Additionally, adherence to community guidelines is stressed, particularly regarding the demonstration of effort in problem-solving. Overall, the thread highlights the collaborative nature of the forum and the expectation for users to engage meaningfully.
Elena1
Messages
24
Reaction score
0
1) $( \log_{a}\left({b}\right)+\log_{b}\left({a}\right)+2) (\log_{a}\left({b}\right)-\log_{ab}\left({b)}\right)* \log_{b}\left({a}\right)-1=$?
 
Mathematics news on Phys.org
Elena said:
1) ( \log_{a}\left({b}\right)+\log_{b}\left({a}\right)+2) (\log_{a}\left({b}\right)-\log_{ab}\left({b)}\right)* \log_{b}\left({a}\right)-1=?

You need to enclose your $\LaTeX$ code within tags, such as $$$$.

We also expect for people posting questions to show what they have tried, where they are stuck, so we can offer better, more specific help. This is outlined in MHB rule #11:

MHB Rules said:
Show some effort. If you want help with a question we expect you to show some effort. Effort might include showing your work, learning how to typeset equations using $\LaTeX$, making your question clearer, titling threads effectively and posting in the appropriate subforum, making a genuine attempt to understand the given help before asking for more help, and learning from previously asked questions. Moderators reserve the right to close threads in cases where the member is not making a genuine effort (particularly if the member is flooding the forums with multiple questions of the same type). You also should remember that all contributors to MHB are unpaid volunteers and are under no obligation to answer a question.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Replies
2
Views
2K
Replies
11
Views
4K
Replies
2
Views
2K
Replies
2
Views
2K
Replies
5
Views
1K
Back
Top