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

Video segment. Assistance may be required. 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.

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Check Your Answer

When -1 < x < 5, then 2log(x + 1) – 2log 6 ≤ 0.

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Practice 2: Solve log2(x − 1) < log3x using the graphing feature on your calculator.

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Check Your Answer

When 1 < x < 3, then log2(x – 1) < log3x.

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