Solving Inverse Plot 2log(y)=log2+log(x+1)

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Homework Help Overview

The discussion revolves around the equation 2log(y)=log2+log(x+1) and its relationship to the plot of the function. Participants are exploring whether this equation represents the inverse of the function Y^2=x+2.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to determine the nature of the relationship between the given logarithmic equation and the quadratic function. Some are questioning whether the logarithmic equation is indeed the inverse of the quadratic function.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants have provided insights into logarithmic properties, while others have challenged the notion of inverse relationships without reaching a consensus.

Contextual Notes

There appears to be some confusion regarding the definitions and properties of inverse functions, as well as the application of logarithmic identities in this context.

hadi amiri 4
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Homework Statement



what is the plot of
2log(y)=log2+log(x+1)

Homework Equations


is it the inverse of this
Y^2=x+2


The Attempt at a Solution

 
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Homework Equations


[tex]log_a x^n=nlog_a x[/tex]

[tex]log_a x + log_a y= log_a xy[/tex]


Use those two equations and you'll see.
 


is inverse of y^2=2(x+1)
 


No, it not the inverse. What you have is exactly y2= 2(x+1)
 
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