Chapter 6.4, Problem 28E

To determine

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

Answer to Problem 28E

Thesolution of the given equation is $x=-5.096$ .

Explanation of Solution

Given information:

The equation is ${\left(\frac{1}{3}\right)}^{x+3}=10$ .

Graph:

Using Desmos graphing utility, we solve the equation by entering two functions $f(x)={\left(\frac{1}{3}\right)}^{x+3}$ and $g(x)=10$ . The point of intersection of these two would be the solution of the equation.

  

  

Conclusion:

Therefore, the solution of the given equation is $x=-5.096$ .