Calculus problem #2153

Calculus Level 2

If the two curves y=ln(2x+3)y=\ln (2x+3) and y=alnxy=a-\ln x intersect at a right angle, what is the value of aa?

Details and assumptions

Two curves intersect at a right angle if the tangent lines of the curves at the intersection point are perpendicular to each other.

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