Question

Use a graphing utility to graph and solve the equation. Approximate the result to three decimal places. Verify your result algebraically.

3 - ln x = 0

Answer 1

Step 1:

The equation

Graph the functions and .

Choose random values for and find the corresponding values for .

Draw the coordinate plane.

Plot the points found in the table and connect the points with smooth curve.

Draw the horizontal line .

Observe the graph : The two functions are intersecting at .

Step 2:

Solve the equation algebraically.

Take each side of the above equation exponent of base .

Substitute the value of .

Solution:

.