Question

Solve the equation below using a graphing

calculator/desmos. (3 points)
12. e* - In 2x = 3.7
I

Answer 1

x = 0.05

x = 1.57

Explanation:

The given equation is:

`e^x-\ln 2x = 3.7`

Moving all terms to the left side:

`e^x-\ln 2x - 3.7=0`

Now we define a function:

`y=f(x)=e^x-\ln 2x - 3.7`

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