Eric Nicholas K's answer to Elaine's Junior College 1 H2 Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
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Without further knowledge, this question cannot be solved algebraically. I used the Desmos online graphing calculator to plot both graphs and subsequently zoomed in on the intersection of approximately 2.80852.

The red graph is the graph of (2 - x)^-2 while the blue graph is the graph of ln (2x - 1).

For (2 - x)^-2 to have a greater value than ln (2x - 1), the red graph must lie above the blue graph.

By inspection of the entire region (both the negative x and positive x regions),

x < 2.80852.