Writing a function as an exponent - please clarify

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The discussion clarifies the mathematical representation of the expression 2^(√2) as an exponent. It confirms that the correct notation is e^(√2 * ln(2)), establishing the relationship between exponential and logarithmic forms. This conversion is essential for understanding exponentiation in terms of natural logarithms.

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SavvyAA3
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Can someone please clarify:

If i wish to write2^(√2) as an exponent am I correct in thinking this will be written as:
exp√2(ln2) ?


Thanks
 
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Indeed, we have:
[tex]2^{\sqrt{2}}=e^{\sqrt{2}\ln(2)}[/tex]
 

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