Understanding Logarithmic Function Problems: Solving for x

Click For Summary
SUMMARY

The discussion focuses on solving the logarithmic equation Log(35-x^3)/Log(5-x)=3. Participants concluded that the solution involves manipulating logarithmic properties, specifically using Log(a/b)=Log a - Log b. The correct approach includes moving Log(5-x) to the right side and eliminating the logarithms to simplify the problem into a standard algebraic equation. The final solutions identified are x=3 and x=2.

PREREQUISITES
  • Understanding of logarithmic functions and properties
  • Familiarity with algebraic manipulation techniques
  • Knowledge of solving quadratic equations
  • Basic skills in handling equations involving logarithms
NEXT STEPS
  • Study logarithmic identities and their applications in equations
  • Learn techniques for solving quadratic equations
  • Explore advanced algebraic manipulation strategies
  • Practice solving logarithmic equations with different bases
USEFUL FOR

Students studying algebra, mathematics educators, and anyone looking to improve their skills in solving logarithmic equations.

feiser
Messages
2
Reaction score
0

Homework Statement


solve x.
Log(35-x^3)/Log(5-x)=3


Homework Equations


Log(a/b)=Log a - Log b


The Attempt at a Solution


The answers would be 3 or 2
(so I'm guessing it has sumthing to do with quadratics)
i tried to expand the left side first, then rearrange it to Log(7/x^4)=3
the problem is that's not giving me the answer, which i got was 0.28925076.
 
Last edited:
Physics news on Phys.org
The relevant equations you gave aren't necessary for the problem.
Move the Log(5-x) to the right hand side, then eliminate the logarithms. Then its just an algebra problem.
 
Thanks.
 

Similar threads

Replies
10
Views
2K
Replies
7
Views
2K
  • · Replies 11 ·
Replies
11
Views
6K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K