How Do You Solve Logarithmic Equations Involving Exponents?

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SUMMARY

The discussion centers on solving the logarithmic equation 2log(x+11)=(1/2)x. Participants agree that traditional algebraic methods are ineffective for this equation. Instead, they emphasize the use of numerical methods for finding solutions. Techniques such as Newton's method and graphical analysis are suggested as viable approaches to tackle the problem.

PREREQUISITES
  • Understanding of logarithmic functions and properties
  • Familiarity with numerical methods for solving equations
  • Basic knowledge of graphing techniques
  • Experience with iterative methods like Newton's method
NEXT STEPS
  • Research Newton's method for solving nonlinear equations
  • Explore graphical methods for visualizing logarithmic functions
  • Learn about numerical approximation techniques
  • Study the properties of logarithms and exponents in depth
USEFUL FOR

Students, educators, and anyone interested in advanced algebraic techniques, particularly those dealing with logarithmic equations and numerical methods.

Cuisine123
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Homework Statement


2log(x+11)=(1/2)x


Homework Equations



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The Attempt at a Solution


I have no idea how to solve for x.
 
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There isn't going to be any algebraic method to solve that equation. There are a number of different numerical methods.
 

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