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junior college 1 | H2 Maths
2 Answers Below
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Date Posted: 4 years ago
Views: 398
Doesn't look solvable with algebraic methods. In general once x appears in both the base and the exponent it's time to use the GC.
Differentiating both sides in an attempt to make the equation algebraic isn't valid either.
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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.
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.
Date Posted:
4 years ago
done
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Same graph in bigger picture
Date Posted:
4 years ago
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