the point P(a, klogea) lies on the curve y =klogex where "a" and "k" are constants
(c) for what values of "a" does the tangent T cross the x- axis to the LEFT of x=0

Question

the point P(a, klogea) lies on the curve y =klogex where "a" and "k" are constants 
(c) for what values of  "a" does the tangent T cross the x- axis to the LEFT of x=0

anonymous · Answer

tangent T : kx-ay+ak(ln^2-1)

anonymous · Answer

go get 'em i am retiring.  
$$\color{green}{\text{good night!}}$$

myininaya · Answer

$$y=\frac{k}{a}*x+k*lna-k$$
I believe this was the tangent line
to find where the tangent line crosses the x-axis sey y=0 solve for x
$$0=\frac{k}{a}*x+k*lna-k$$
$$\frac{-k}{a}*x=k*lna-k$$

$$x=\frac{-a}{k}*(k*lna-k)=-a(lna-1)$$

myininaya · Answer

$$(-a(lna-1),0)$$ is the tangent line's x-intercept
bye satellite

anonymous · Answer

sleep tight@ satellite73 and thanks for the help"mate"!

anonymous · Answer

so when does it cross the x axis to the left of x=0?