Writing 2^(√2) as an exponential function

[SavvyAA3]

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

 

[arildno]

Indeed, we have:
$$2^{\sqrt{2}}=e^{\sqrt{2}\ln(2)}$$