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

Thread starter hadi amiri 4
Start date Jul 11, 2008
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Inverse Plot

In summary, an inverse plot is a graphical representation of a mathematical relationship where the axes are switched. It can be used to solve logarithmic equations by switching the axes and finding the intersection points between the inverse plot and the x-axis. The inverse plot and the original plot have an inverse relationship, with points on the inverse plot corresponding to the inverse of points on the original plot. To plot the inverse plot for an equation, you can use a graphing calculator or software.

Jul 11, 2008

hadi amiri 4

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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Jul 11, 2008

rock.freak667

Homework Helper

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.

Jul 13, 2008

hadi amiri 4

is inverse of y^2=2(x+1)

Jul 13, 2008

HallsofIvy

Science Advisor

Homework Helper

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

Last edited by a moderator: Jul 13, 2008

1. What is an inverse plot?

An inverse plot is a graphical representation of a mathematical relationship between two variables where the axes are switched. In this case, the logarithmic relationship between y and x is represented by plotting x on the y-axis and y on the x-axis.

2. How do I solve for y in 2log(y)=log2+log(x+1)?

To solve for y, you can use the properties of logarithms to rewrite the equation as log(y^2)=log2+log(x+1). Then, you can combine the logarithms on the right side by using the product rule to get log(2y^2(x+1))=log2. Finally, you can equate the arguments of the logarithms to get 2y^2(x+1)=2. Solving for y, we get y=√(1/(x+1)).

3. How do I plot the inverse plot for 2log(y)=log2+log(x+1)?

To plot the inverse plot, you can use a graphing calculator or software. First, enter the equation y=√(1/(x+1)). Then, switch the x and y axes. The resulting graph will be the inverse plot of the original equation.

4. What is the relationship between the inverse plot and the original plot?

The inverse plot and the original plot have an inverse relationship. This means that points on the inverse plot correspond to the inverse of the points on the original plot. For example, if a point on the original plot has coordinates (x,y), the corresponding point on the inverse plot will have coordinates (y,x).

5. Can the inverse plot be used to solve other equations?

Yes, the inverse plot can be used to solve other logarithmic equations. By switching the axes and plotting the inverse of the original equation, you can find the solution to the equation by looking at the coordinates of the intersection points between the inverse plot and the x-axis.