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f(a,b,c)=powers(b/a,log(c/a)\loglogint(c\a,b/a),a)
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f(a,b,c)=powers(b/a,log(c/a)\log(b/a),a)
Try it online!
f(a,b,c)=powers(b/a,logint(c\a,b/a),a)
