Use a graphing calculator. Solve 5.5^3x = 805 by graphing. Round to the nearest hundredth.
(1 point)
Responses
2.91
3.92
1.31
0.97
To solve the equation 5.5^(3x) = 805 by graphing, you can follow these steps:
1. Enter the equation into the graphing calculator: y = 5.5^(3x) - 805
2. Set the window settings to x values ranging from -10 to 10 and y values ranging from -1000 to 1000.
3. Graph the equation.
4. Use the trace function or the intersect function to find the x-coordinate where the graph intersects the y = 0 line (since we are solving for x).
After performing these steps, the graphing calculator will give you the approximate x-coordinate where the equation intersects the y = 0 line. Rounding the answer to the nearest hundredth, the solution is approximately 2.91.
So, the correct answer is 2.91.