(ask) Calculating Logarithmic Question

  • Context: MHB 
  • Thread starter Thread starter Jdtbtb_sp
  • Start date Start date
  • Tags Tags
    Logarithmic
Click For Summary

Discussion Overview

The discussion revolves around a logarithmic calculation question, specifically how to compute the expression log_2(log_3(65)) + 3*log_5(log_5(9)) without the use of a calculator. Participants express confusion regarding the calculation and the discrepancy between their results and the answer provided in a textbook.

Discussion Character

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

Main Points Raised

  • Some participants inquire about methods to calculate the logarithmic expression without a calculator, noting that the expected answer is 3.
  • Others suggest that the changing base formula might be applicable, but express difficulty in simplifying the expression, leading to complications.
  • Several participants report that their calculators and Wolfram Alpha do not yield an evaluation of 3 for the expression, indicating a potential issue with the expected answer.
  • One participant mentions that their calculator provided a result of approximately 2.506, suggesting that rounding may be a factor in the discrepancy.
  • There is a consensus that calculating "log(log)" without a calculator is challenging, with one participant humorously noting that calculators were invented for such problems.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculation methods or the correctness of the expected answer. There are multiple competing views regarding the feasibility of solving the problem without a calculator.

Contextual Notes

Participants express uncertainty about the assumptions underlying the logarithmic calculations and the potential for rounding errors in their results.

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.
 

Similar threads

High School How does one draw a logarithmic scale?
  • · Replies 20 ·
Replies
20
Views
4K
High School How reliable are logarithm tables?
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Logarithmic scale - interpolation
  • · Replies 2 ·
Replies
2
Views
15K
High School How to compute logarithm with pen and paper?
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Need help understanding base-10 number format please
  • · Replies 2 ·
Replies
2
Views
1K
Logarithmic Regression Question (TI-84 Plus Graphing Calculator)
  • · Replies 4 ·
Replies
4
Views
2K
High School Need an on-line calculator for a simple calculation
  • · Replies 12 ·
Replies
12
Views
4K
Which of these logarithms has the biggest value?
  • · Replies 4 ·
Replies
4
Views
2K
High School Issue With Algebra of Logarithms
  • · Replies 8 ·
Replies
8
Views
2K
MHB A logarithm formula involving the mascheroni constant
  • · Replies 6 ·
Replies
6
Views
2K