Mastering the Mysteries of Logarithms: Solving for x in a Tricky Equation

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SUMMARY

The discussion centers on solving the logarithmic equation log2((x(x+3)2) / (4x+2)) = 1. The key conclusion is that this equation simplifies to x(x+3)2 / (4x+2) = 2. Participants clarify that taking the logarithm out leads to the expression 21 = (x(x+3)2) / (4x+2), confirming the relationship between the logarithmic and algebraic forms.

PREREQUISITES
  • Understanding of logarithmic functions and properties
  • Familiarity with algebraic manipulation of equations
  • Knowledge of base conversions in logarithms
  • Basic skills in solving quadratic equations
NEXT STEPS
  • Study logarithmic identities and their applications in equations
  • Learn about solving quadratic equations using the quadratic formula
  • Explore the concept of logarithmic scales and their practical uses
  • Practice converting between logarithmic and exponential forms
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Students, educators, and anyone interested in mastering logarithmic equations and algebraic problem-solving techniques.

DeanBH
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i've got a logashizm problem to this point

the log is base 2log (x(x+3)^2 / (4x+2)) = 1

apparently x(x+3)^2 / (4x+2) = 2

no idea why, halp?

thxgod damn it, nvm

2^1 = (x(x+3)^2 / (4x+2)) when you take the damn log out.
 
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exactly
 

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