Question

consider the equation |ln x|=3-x then the number of real solution of equation is​

Answer 1

The number of real solution of the equation |ln x|=3-x is 2

Step-by-step explanation:

Given, the equation

$|\ln x|=(3-x)$

In order to find ot the number of solutions of the above equation, we need to plot the graph of $|\ln x|$ and $3-x$

We know that if a graph of function $f(x)$ is known

Then $|f(x)|$ can be plotted by taking the mirror image of $f(x)$ w.r.t. x-axis

We already know how to plot $y=3-x$ which is a linear equation

The plot is shown

From the plot it is clear that the curves of $|\ln x|[tex] and [tex]3-x$ cut each other at 2 points

Therefore, the number of solutions of the given equation are 2

Hope this answer is helpful.

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Answer 2

Answer:

The number of real solution of the equation |ln x|=3-x is 2

Step-by-step explanation:

Given, the equation

In order to find ot the number of solutions of the above equation, we need to plot the graph of  and  

We know that if a graph of function  is known

Then  can be plotted by taking the mirror image of  w.r.t. x-axis

We already know how to plot  which is a linear equation

The plot is shown

From the plot it is clear that the curves of  cut each other at 2 points

Therefore, the number of solutions of the given equation are 2

Hope this answer is helpful.