I was messing around the other day and found this interesting function. As seen in the attached image. It starts with the definition f(x) = a f(b x), f(1) = 1 and has the solution f(x) = x^(-ln(a)/ln(b))
f(x) = a f(b x), f(1) = 1
f(x) = x^(-ln(a)/ln(b))
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