What conclusions can we draw about c in the logarithmic properties of a and b?

Click For Summary
SUMMARY

The discussion centers on the logarithmic relationship defined by the equation $$\log_{b}\left({a}\right) =c$$, where the constraints are set as \(0 PREREQUISITES

  • Understanding of logarithmic functions
  • Familiarity with the properties of exponents
  • Basic knowledge of inequalities
  • Concept of base in logarithms
NEXT STEPS
  • Study the implications of logarithmic properties on exponential functions
  • Explore the behavior of logarithms with different bases
  • Investigate the graphical representation of logarithmic functions
  • Learn about logarithmic identities and their applications
USEFUL FOR

Students of mathematics, educators teaching logarithmic concepts, and anyone interested in the properties of logarithms and their applications in real-world scenarios.

cherikana
Messages
1
Reaction score
0
$$\log_{b}\left({a}\right) =c ,0<a<1<b$$
What can you conclude about c? explain.
 
Last edited by a moderator:
Mathematics news on Phys.org
cherikana said:
$$\log_{b}\left({a}\right) =c ,0<a<1<b$$
What can you conclude about c? explain.

Hi cherikana! Welcome to MHB! (Smile)

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 

Similar threads

MHB Triangle and logarithm problem
  • · Replies 5 ·
Replies
5
Views
2K
High School Commutative & Associative property of negative numbers
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Question about branch of logarithms
  • · Replies 14 ·
Replies
14
Views
4K
MHB Find Product: $(a^4+b^4+c^4)$ and $(a^6+b^6+c^6)$
  • · Replies 3 ·
Replies
3
Views
1K
Using Properties of Logarithms
  • · Replies 22 ·
Replies
22
Views
3K
High School Characteristics of the parent logarithmic function
  • · Replies 4 ·
Replies
4
Views
3K
MHB A logarithm formula involving the mascheroni constant
  • · Replies 6 ·
Replies
6
Views
2K
MHB Logarithm properties in functional equations Show that f(1/a) = -f(a)
  • · Replies 10 ·
Replies
10
Views
2K
MHB Properties of exponential/logarithm
  • · Replies 4 ·
Replies
4
Views
2K
High School How to compare two huge numbers with nested exponentials?
  • · Replies 3 ·
Replies
3
Views
2K