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How do I simplify ln(ln(2)+ sqrt((ln(2))^2+1))
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\[\ln(\ln(2)+ \sqrt((\ln(2))^2+1))\]
@Algebraic! i'm sure you have a solution.. :)
sure it's written correctly?
i'm evaluating inverse sinh at ln(2)
maybe its like this? ln[(ln(2)+ sqrt((ln(2))^2+1))]
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\[\ln(\ln(2)+ \sqrt((\ln(2)^2+1))\]
ln[(ln(2)+ sqrt((ln(2))^2+1))]= 0.64704348 inverse of sinh (ln2)= 0.64704348
supposed to have an exact value.
doesn't
is it ln (2^2) ???
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or (ln(2))^2
(ln(2))^2, my bad.
\[\ln(\ln(2)+ \sqrt((\ln(2))^2+1))\]
I don't think it can be simplified anymore further. I thought you could square root the (ln(2))^2 + 1 to give just ln2 +1
so the root is on... (ln2)^2 +1 ..
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\[\sqrt{(\ln2)^2 +1} = 2\ln2 +1\]
??
no...
@Algebraic! \[\sqrt{(\ln2)^2 +1} = ??\]
@satellite73 any help?
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