Solving Tricky Logarithms Problems

  • Thread starter Thread starter vijay123
  • Start date Start date
  • Tags Tags
    Logarithms
Click For Summary
SUMMARY

The discussion focuses on solving two challenging logarithmic equations: a) 10(3^(2x+1)) = 2^(4x-3) and b) (2/3x)^(log2) = (9x)^(log3). The recommended approach involves taking the logarithm of both sides of each equation and applying the laws of logarithms, particularly the exponent law: log(x^b) = b*log(x). This method simplifies the equations and allows for the isolation of the variable x, leading to a solution.

PREREQUISITES
  • Understanding of logarithmic functions and properties
  • Familiarity with exponent laws
  • Basic algebraic manipulation skills
  • Knowledge of solving equations
NEXT STEPS
  • Study the properties of logarithms in depth
  • Practice solving exponential equations
  • Explore advanced logarithmic identities
  • Learn techniques for isolating variables in complex equations
USEFUL FOR

Students, educators, and anyone looking to enhance their skills in solving logarithmic equations and understanding advanced algebraic concepts.

vijay123
Messages
122
Reaction score
0
hi,
i got 2 problems that are really hard to solve. i don't know wether they are trick question or they just can be incorperated in a formula.i have taken days to solve them but in vain. please help!

a) 10(3^(2x+1)) = 2^(4x-3)

b) (2/3x)^(log2) = (9x)^(log3)

thanks you very much:frown:
 
Physics news on Phys.org
In both questions, take the logarithm of both sides of the equation, then use the laws of logarithms to isolate x (the one to start with is the exponent law: log(x^b) = b*log(x)).

The solutions to the questions should hopefully follow easily now. =)

(Ha, just noticed your post in the other forum was asking the same question. Seems you got some answers there.)
 
lol...rite
 

Similar threads

Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
10
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 40 ·
2
Replies
40
Views
6K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K