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I've been banging my head against this for a while. I don't think there is, as i, n and x are all dependent. Wolfram Alpha helped a bit:
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Recasting it slightly (letting 1+i = y) shows that it can be rearranged, but only if you use a numerical-only function (the ProductLog function) .
A friend sent me this and I’m wondering if anyone here can help. I don’t think it’s possible but would appreciate confirmation!
If x = (1 - vn)/ä
where:
v = 1/(1 + i)
and
ä = ln(1 + i)
Is there a way to write a formula for i in terms of n and x?
Edit: just can’t see a way to free the i from the ln without locking the other up with an e…