MHB (ask) Calculating Logarithmic Question

  • Thread starter Thread starter Jdtbtb_sp
  • Start date Start date
  • Tags Tags
    Logarithmic
AI Thread Summary
Calculating the expression log_2(log_3(65)) + 3*log_5(log_5(9) is challenging without a calculator, as it involves complex logarithmic functions. Despite attempts to simplify using the change of base formula, users found it complicated and unable to yield the expected answer of 3. The discussion highlights that calculators are essential for evaluating such logarithmic expressions accurately. Some users noted discrepancies in answers, with one mentioning a calculator result of 2.506, likely due to rounding. Ultimately, the consensus is that for complicated logarithmic calculations, using a calculator is advisable.
Jdtbtb_sp
Messages
4
Reaction score
0
May I know how to calculate this question without a calculator? The final answer of this question is 3 but I really have no idea how to work on it to get the final answer.

IMG_20210309_185816.jpg
 
Last edited:
Mathematics news on Phys.org
Jdtbtb_sp said:
May I know how to calculate this question without a calculator? The final answer of this question is 3 but I really have no idea how to work on it to get the final answer.

View attachment 11006
Is it something to do with the changing base formula? I have tried using the changing base formula, hoping through this I could simplify it but it went even complicated. Then I was stuck, don't know how to solve it...
 
Last edited:
Even if you change all the logarithms to the same base there is not going to be any simple way to calculate that "log(log)" without a calculator. That's why calculators were invented!
 
Country Boy said:
Even if you change all the logarithms to the same base there is not going to be any simple way to calculate that "log(log)" without a calculator. That's why calculators were invented!

Thank you for replying. Next time I should use a calculator for such a "log(log)" question. Thank you for spending time to answer my post.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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...
View full post »

Thread 'Non-orthogonal bases'

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...
View full post »

Similar threads

B How to express ##3^{\sqrt(2)}## in terms of natural logarithms
Replies
10
Views
1K
B How does one draw a logarithmic scale?
Replies
20
Views
4K
B How reliable are logarithm tables?
Replies
7
Views
3K
B Why is pH a negative logarithm?
Replies
5
Views
4K
I Logarithmic scale - interpolation
Replies
2
Views
13K
B How to compute logarithm with pen and paper?
Replies
10
Views
3K
I Need help understanding base-10 number format please
Replies
2
Views
1K
Logarithmic Regression Question (TI-84 Plus Graphing Calculator)
Replies
4
Views
2K
B Need an on-line calculator for a simple calculation
Replies
12
Views
3K
B Issue With Algebra of Logarithms
Replies
8
Views
1K

Hot Threads

Recent Insights

Back
Top