We are going to continue solving inequalities that contain logarithmic expressions, but in this section, we will find the solutions on your graphing calculator using a graph instead of a table.
Example 1: Solve the following inequality using the graph feature on your calculator.
-6log4x > -24
Watch the following video for an explanation of how to solve this inequality on your calculator using a graph. You should follow along with your calculator as the instructor solves the problem on his.
Now that you've watched the video, try solving these two problems on your own.
Practice 1: Solve 2log(x + 1) − 2log 6 ≤ 0 using the graphing feature on your calculator.
Interactive popup. Assistance may be required. When -1 < x < 5, then 2log(x + 1) – 2log 6 ≤ 0.Practice 2: Solve log2(x − 1) < log3x using the graphing feature on your calculator.
Interactive popup. Assistance may be required. When 1 < x < 3, then log2(x – 1) < log3x.