SOLUTION: Sketch and solve the given problem. 1. The line 2x-y+3=0 is parallel to the line tangent to the curve y=2lnx

Algebra ->  Test -> SOLUTION: Sketch and solve the given problem. 1. The line 2x-y+3=0 is parallel to the line tangent to the curve y=2lnx       Log On


   

Question 1193530: Sketch and solve the given problem.
1. The line 2x-y+3=0 is parallel to the line tangent to the curve y=2lnx
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch and solve the given problem.
1. The line 2x-y+3=0 is parallel to the line tangent to the curve y=2lnx
~~~~~~~~~~~~~~~ 

The given line has the slope m = 2.


So we should find a point on the curve, where the tangent line has the slope 2.


For it, take the derivative and equate it to 2:

    2%2Fx = 2

     x = 1.


ANSWER.  The point on the curve is  (x,y) = (1,0).

Solved.