By plotting the graph and by using the successive approximation of the equation value of x is option (B) [tex]\frac{9}{8}[/tex]
What is a graph ?
A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
What is successive approximation?
The successive approximations method (SAM) is one of the well known classical methods for solving integral equations
Plot the graph using given equation
There is one intersecting point
At that point [tex]3^{(-x+2)}-1=5x-4[/tex]
At that point x=[tex]\frac{9}{8}[/tex]=1.124
Hence, the value of x=[tex]\frac{9}{8}[/tex]
Learn more about graph and successive approximation method here
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