Question: How can I differentiate a function with respect to log x

How do I differentiate with respect to lnx? So for example df(x)/d lnx = xdf(x)/dx

 

What I am specifically after is a way to obtain d^n f(x)/d (lnx)^n (or equivalently (x*d/dx)^n f(x) ) so simply writing df(x)/d lnx = x*diff(f(x),x) is no good.

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