Solving Natural Log: Round and Round I Go...

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SUMMARY

The discussion centers on solving the equation ln(x+4)=2. The correct approach begins with exponentiating both sides, leading to e^2 = x + 4. The next step is to isolate x by subtracting 4 from both sides, resulting in x = e^2 - 4. Participants confirm that the initial steps were correct, emphasizing the importance of correctly isolating the variable.

PREREQUISITES
  • Understanding of natural logarithms and their properties
  • Familiarity with exponential functions
  • Basic algebraic manipulation skills
  • Knowledge of solving equations for a variable
NEXT STEPS
  • Study the properties of natural logarithms and their applications
  • Learn about exponential equations and their solutions
  • Practice isolating variables in algebraic equations
  • Explore advanced topics in logarithmic functions and their graphs
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Students in mathematics, educators teaching algebra, and anyone looking to strengthen their understanding of logarithmic equations.

member38644
when trying to solve

ln(x+4)=2

i tried this

ln(x+4)=2
e^2=(x+4)
ln e^2=ln(x+4)
2=ln(x+4)

and round and round i go... where do i start to go wrong?
 
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Welcome to physicsforums fieldlandman,

you actually went the right way till the second line:

fieldlandman said:
when trying to solve

ln(x+4)=2

i tried this

ln(x+4)=2
e^2=(x+4)

Continue there with solving FOR x!
 
thanks!

that was it! thanks!
 

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