Chapter 11.5, Problem 17CFU

Solution

To find: The inequality ${12}^{x-4}=3^{x-2}$ by graphing.

Given information:

The inequality ${12}^{x-4}=3^{x-2}$ .

Explanation:

Let,

  $y={12}^{x-4}$ and $y=3^{x-2}$ .

Now the points of intersection of this equation is the solution for the given equation.

Hence, the intersection point of the given equation is $5.58$ .

Now the graph of the equation is,

  

Therefore, the graph is shown above.