giorgiana1976 | Student

To solve this type of equation, that is called transcendental equation, we'll have to isolate the logarithm function to one side, and the linear equation to the other side, such as:

x - 2 = ln(1 - x)

Now, we'll draw the graphs of the linear equation x - 2 and logarithmic equation ln(1-x).

The graph of the linear function x - 2 is the orange line, whose intercepting points to x and y axis are: (2 ; 0) and (0 ; -2).

The graph of the logarithmic function is the black curve that is passing through the origin (0 ; 0).

The solution of the equation is the intercepting point of the graphs. To determine x coordinate we'll have to draw a perpendicular from intercepting point to x axis.

The solution of the transcedental equation is found in the closed interval [0 ; 1].