Question

Solve the equation below using a graphing

Answer 1

Answer:

x = 0.05

x = 1.57

Step-by-step 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