Chapter 6.4, Problem 30E

To determine

To solve:Use a graphing utility to solve the equation.

Answer to Problem 30E

Thesolutions of the given equation are $x=1$ and $x\approx 1.707$ .

Explanation of Solution

Given information:

The equation is $3x-2=5^{x-1}$ .

Graph:

Using Desmos graphing utility, we solve the equation by entering two functions $f(x)=3x-2$ and $g(x)=5^{x-1}$ . The points of intersections of these two are the solutions of the equation.

  

  

Conclusion:

Therefore, the solutions of the given equation are $x=1$ and $x\approx 1.707$ .