Logarithm Q: Is log(\frac{3}{5}) = \frac{log3}{log5}?

  • Context: High School 
  • Thread starter Thread starter AbsoluteZer0
  • Start date Start date
  • Tags Tags
    Logarithm
Click For Summary
SUMMARY

The equation log(3/5) = log3/log5 is incorrect. The correct logarithmic identity states that log(a/b) equals loga - logb. This fundamental property of logarithms is essential for accurate calculations in mathematics.

PREREQUISITES
  • Understanding of logarithmic properties
  • Basic algebra skills
  • Familiarity with mathematical notation
  • Knowledge of the logarithm function
NEXT STEPS
  • Study the properties of logarithms, specifically the quotient and product rules
  • Practice solving logarithmic equations
  • Explore applications of logarithms in real-world scenarios
  • Learn about logarithmic scales and their significance in various fields
USEFUL FOR

Students, educators, and anyone looking to deepen their understanding of logarithmic functions and their applications in mathematics.

AbsoluteZer0
Messages
124
Reaction score
1
Hello all,

Am I right in assuming that log(\frac{3}{5}) = \frac{log3}{log5}?

Thanks,
 
Mathematics news on Phys.org
AbsoluteZer0 said:
Hello all,

Am I right in assuming that log(\frac{3}{5}) = \frac{log3}{log5}?

Thanks,

No...This is wrong .

Remember log(a/b) = loga - logb and log(ab) = loga + logb
 
Last edited:

Similar threads

  • · Replies 10 ·
Replies
10
Views
3K
Replies
8
Views
2K
  • · Replies 44 ·
2
Replies
44
Views
5K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K