For what value of a is the liney=5x tangent to the curve y=eax at some point in the Oxy -plane?

Question

For what value of a is the liney=5x tangent to the curve y=e^ax at some point in the Oxy -plane?

Answer 1

Thorough explanation in a short video. :)

Answer 2

dy/dx = ax

5x = ax

x = a