The exponential function $\exp:\mathbb{R}\to\mathbb{R}_+$ satisfies the differential equation $f^\prime(x)=f(x)$.
Does the logarithm $\log:\mathbb{R}_+\to\mathbb{R}$ also satisfy any differential equation?
Curious about if this gets closed immediately or not... seems like a way too basic question, but I have been totally stuck with this since yesterday.
from Hot Weekly Questions - Mathematics Stack Exchange
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