$\"\"$

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The function is $\"\"$ .

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Apply change-of-base formula : $\"\"$ .

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$\"\"$

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Rate of growth of $\"\"$ is $\"\"$ .

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$\"\"$

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Therefore, the rate of growth of $\"\"$ is $\"\"$ .

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$\"\"$

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The function is $\"\"$ .

\

Rate of growth of $\"\"$ is $\"\"$ .

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Rewrite the function as $\"\"$ .

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Take natural logarithm on each side.

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$\"\"$

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Differentiate the function with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Therefore, the rate of growth of $\"\"$ is $\"\"$ .

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$\"\"$

\

The function is $\"\"$ .

\

Rate of growth of $\"\"$ is $\"\"$ .

\

$\"\"$

\

Therefore, the rate of growth of $\"\"$ is $\"\"$ .

\

$\"\"$

\

The function is $\"\"$ .

\

Rate of growth of $\"\"$ is $\"\"$ .

\

$\"\"$

\

Therefore, the rate of growth of $\"\"$ is $\"\"$ .

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$\"\"$

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For large values of $\"\"$ , according to the rates of growths, the function can be arranged as follows : $\"\"$ .

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$\"\"$

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Order of functions is $\"\"$ .