Chapter 11.5, Problem 57E

To determine

To Find: The solution for the equation or the inequality.

Answer to Problem 57E

The required solution is $x=2$ .

Explanation of Solution

Given:

The given equation is,

  $4^{2x-1}=2^{3x}$

Calculation:

Consider the given equation is,

  $4^{2x-1}=2^{3x}$

Use the graphing utility to graph the above equation.

First insert the equation in the calculator as shown in Figure 1

  

Figure 1

Press the window button and then press the graph button.

Set the window with the parameters as shown in Figure 2

  

Figure 2

The graph obtained is shown in Figure 3

  

Figure 3

Press the enter button to obtain the graph as shown in Figure 3

  

Figure 3

The graph intersects at $\left(2,64\right)$ .

Thus, the solution is,

  $x=2$