Graphing of a logarithmic function

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SUMMARY

The discussion focuses on graphing the logarithmic function represented by the equation "some constant = y + log x." To graph this function, one must first solve for y, resulting in the equation "y = some constant - log x." Users debate the efficiency of calculating y values for various x values versus visualizing the graph of y = log x and shifting it left by the constant. The consensus suggests that understanding the transformation of the basic logarithmic graph can simplify the graphing process.

PREREQUISITES
  • Understanding of logarithmic functions and their properties
  • Familiarity with graph transformations, specifically horizontal shifts
  • Basic algebra skills for solving equations
  • Experience with plotting graphs on a Cartesian plane
NEXT STEPS
  • Study the properties of logarithmic functions, particularly y = log x
  • Learn about graph transformations, focusing on horizontal shifts
  • Practice solving logarithmic equations for different constants
  • Explore graphing software tools like Desmos or GeoGebra for visualizing functions
USEFUL FOR

Students in mathematics, educators teaching logarithmic functions, and anyone interested in graphing techniques for logarithmic equations.

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I am facing difficulty in graphing this logarithmic function:

some constant= y + log x

what all steps are required to graph such a function?
 
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Solve for y, then use this equation to calculate corresponding y values for a handful of x values.
 
thanks chris for your reply,but won't it take time to solve it through this method?

what i mean is-we know the graph of y=log x
also,the equation of logarithmic function can be written as:

some constant-log x= y,but by plotting it through putting various values of x,won't it be time consuming?...can't we simply visualise its graph by knowing how y=logx looks like and then, shifting the graph to the left by that constant value?
 

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