CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Number of solution(s) of the equation |ln x|=|sinx| is/are 


A
1
loader
B
2
loader
C
3
loader
D
4
loader

Solution

The correct option is C 2
Solution to the equation f(x)=0 is the values of x which satisfy that equation.
For the given equation, the solution will be the values of x at which |ln(x)|=|sinx|.
This means if we plot the graph of functions |sin x| and |ln x|, the points at which both the curves intersect each other are the solutions to the equation |ln(x)| =  |sinx|.
Below shown is the plot of both curves on X-Y plane.

We know, ln(e) = 1 
i.e., At x= e, ln(x) = 1.
For values of x > e, ln(x) > 1.
Also, sinx lies between -1 and +1.
This means that beyond x = e, |sin(x)| and |ln(x)| curve will not intersect.
We can observe that both the graphs intersect at two points.
Hence, the number of solution for the given equation is two.

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image