What is the Unknown Value of N in a Table?

  • Context: MHB 
  • Thread starter Thread starter cbarker1
  • Start date Start date
  • Tags Tags
    Value
Click For Summary
SUMMARY

The discussion focuses on calculating the unknown value of N using logarithmic equations and provided tables. The equation $\log(N) = 9.52412 - 10$ simplifies to $N \approx 3.3428739 \times 10^{-1}$. Participants clarify that the value of N can be derived from logarithmic properties and a scientific calculator. The use of tables for reference is also emphasized, although the specific tables were not detailed in the discussion.

PREREQUISITES
  • Understanding of logarithmic functions and properties
  • Familiarity with scientific calculators for logarithmic calculations
  • Basic knowledge of exponential notation
  • Access to mathematical tables for reference
NEXT STEPS
  • Learn how to manipulate logarithmic equations in various bases
  • Explore the use of scientific calculators for advanced logarithmic calculations
  • Study exponential functions and their applications in real-world scenarios
  • Investigate mathematical tables and their role in solving logarithmic problems
USEFUL FOR

Students, mathematicians, and anyone involved in scientific calculations who seeks to understand logarithmic functions and their applications in determining unknown values.

cbarker1
Gold Member
MHB
Messages
345
Reaction score
23
How to find the Value of N by using a table when:$\log\left({N}\right)=9.52412-10$

[TABLE="width: 500"]
[TR]
[TD]N[/TD]
[TD]3[/TD]
[TD]4[/TD]
[/TR]
[TR]
[TD]334[/TD]
[TD]52414[/TD]
[TD]52427[/TD]
[/TR]
[TR]
[TD]335[/TD]
[TD]52543[/TD]
[TD]52556[/TD]
[/TR]
[/TABLE]


13​
[TABLE="width: 500"]
[TR]
[TD]1[/TD]
[TD]1.3[/TD]
[/TR]
[TR]
[TD]2[/TD]
[TD]2.6[/TD]
[/TR]
[TR]
[TD]3[/TD]
[TD]3.9[/TD]
[/TR]
[TR]
[TD]4[/TD]
[TD]5.2[/TD]
[/TR]
[TR]
[TD]5[/TD]
[TD]6.5[/TD]
[/TR]
[TR]
[TD]6[/TD]
[TD]7.8[/TD]
[/TR]
[TR]
[TD]7[/TD]
[TD]9.1[/TD]
[/TR]
[TR]
[TD]8[/TD]
[TD]10.4[/TD]
[/TR]
[TR]
[TD]9[/TD]
[TD]11.7[/TD]
[/TR]
[/TABLE]

$N={3.34---}\E{-1}$, what is the "---"?Cbarker1
 
Mathematics news on Phys.org
Cbarker1 said:
How to find the Value of N by using a table when:$\log\left({N}\right)=9.52412-10$

[TABLE="width: 500"]
[TR]
[TD]N[/TD]
[TD]3[/TD]
[TD]4[/TD]
[/TR]
[TR]
[TD]334[/TD]
[TD]52414[/TD]
[TD]52427[/TD]
[/TR]
[TR]
[TD]335[/TD]
[TD]52543[/TD]
[TD]52556[/TD]
[/TR]
[/TABLE]


13​
[TABLE="width: 500"]
[TR]
[TD]1[/TD]
[TD]1.3[/TD]
[/TR]
[TR]
[TD]2[/TD]
[TD]2.6[/TD]
[/TR]
[TR]
[TD]3[/TD]
[TD]3.9[/TD]
[/TR]
[TR]
[TD]4[/TD]
[TD]5.2[/TD]
[/TR]
[TR]
[TD]5[/TD]
[TD]6.5[/TD]
[/TR]
[TR]
[TD]6[/TD]
[TD]7.8[/TD]
[/TR]
[TR]
[TD]7[/TD]
[TD]9.1[/TD]
[/TR]
[TR]
[TD]8[/TD]
[TD]10.4[/TD]
[/TR]
[TR]
[TD]9[/TD]
[TD]11.7[/TD]
[/TR]
[/TABLE]

$N={3.34---}\E{-1}$, what is the "---"?
Not sure what you mean by "using a table". That would depend on what sort of tables you have available.

If $\log(N) = -1 + 0.52412$ then $N = 10^{-1}\times 10^{0.52412}$. My calculator gives $10^{0.52412} \approx 3.3428739$. So $N\approx 3.3428739 \times 10^{-1}.$
 
I provided a section of the table that is in the book.
 

Similar threads

MHB What is the positive integer value of $n$ if $3^{n} + 81$ is a perfect square?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Finding the log by using the proportional table
  • · Replies 1 ·
Replies
1
Views
1K
Mathematica Why Does FindFit Fail with Non-Real Number Errors in Mathematica?
  • · Replies 1 ·
Replies
1
Views
3K
Python What is the Position of Two Colliding Balls in a 2D Box after 10 Seconds?
  • · Replies 41 ·
2
Replies
41
Views
6K
  • Poll Poll
Recommendation of a good systematic particle physics book
  • · Replies 3 ·
Replies
3
Views
3K
  • Poll Poll
Relativity Spacetime and Geometry: An Introduction to General Relativity by Sean M. Carroll
  • · Replies 5 ·
Replies
5
Views
13K
  • Poll Poll
Astrophysics Physics Of Space Plasmas: An Introduction, 2nd Ed, by George Parks
  • · Replies 1 ·
Replies
1
Views
5K
MHB Difference equation tutorial: draft of part II
  • · Replies 2 ·
Replies
2
Views
10K
Courses Required Pre-Calc knowledge for a Calculus course?
  • · Replies 6 ·
Replies
6
Views
6K
  • Poll Poll
Microwave Engineering by David Pozar
  • · Replies 3 ·
Replies
3
Views
8K