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Graph of Trigonometric Ratios

Find the numb...

Question

Find the number of solutions of $e^{x} = x^{4}$ .

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Solution

Here, Let's consider F(x) = $e^{x}$ and g(x) = $x^{4}$

Draw the graph of F(x) and g(x)

From the figure,we can clearly observe that these two graphs intersects at two points,therefore there

are two solutions.

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