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The equation is $\"\"$ .

Consider the function $\"\"$ .

Differentiate $\"\"$ on each side with respect to $\"\"$ .

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Since $\"\"$ , $\"\"$ .

The derivative of the function $\"\"$ is always positive.

Hence the function $\"\"$ is an increasing function.

Any increasing function crosses the $\"\"$ axis only for a single value of $\"\"$ .

Therefore the function $\"\"$ has exactly one root.

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The equation $\"\"$ has exactly one root.