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there are two curves: curve1: y=a^x and curve2: b^x. what is the angle between them at their point of intersection. given that (a≠b).

My general method:

if i wanted angle b/w the curves y=x^2 and y=(x-2)^2, i would easily do it.

let A be angle b/w them,

then, tanA= [tan(m1)-tan(m2)]/1-tanm1.tanm2

can be used at their point of intersection.this is what my textbook says. but the problem with a^x and b^x is that I CANNOT FIND THE POINT OF INTERSECTION. which brings me to the very basic question, how can we find pt of intersection of curves like this?