Use a graphing calculator. Solve 5.5^3x = 805 by graphing. Round to the nearest hundredth.
(1 point)
Responses
2.91
2.91
3.92
3.92
1.31
1.31
0.97
To solve the equation 5.5^3x = 805, we need to find the value of x that satisfies the equation. We can do this by graphing.
1. On a graphing calculator, enter the equation as 5.5^(3x) - 805.
2. Set the viewing window to show x-values around the potential solutions. For example, you can set the x-range to be from 0 to 3.
3. Graph the equation.
4. Look for the point where the graph intersects the x-axis, which indicates the solution.
After graphing, we can see that the graph intersects the x-axis at approximately x = 2.91. Therefore, the solution to the equation is 2.91 (rounded to the nearest hundredth).