Answer:
x = 0.05
x = 1.57
Step-by-step explanation:
The given equation is:
[tex]e^x-\ln 2x = 3.7[/tex]
Moving all terms to the left side:
[tex]e^x-\ln 2x - 3.7=0[/tex]
Now we define a function:
[tex]y=f(x)=e^x-\ln 2x - 3.7[/tex]
The solutions of the equation are the values of x such that y=0.
Since the function cannot be solved by algebraic methods, we use a graphing tool.
Those points where the graph crosses the x-axis are solutions of the equation.
Please refer to the graph in the figure below.
We can clearly identify there are two solutions at
x = 0.05
x = 1.57
