Question

find the point of intersection at which the tangent of y= log x at x=1 cuts y-axis

Answer 1

If you want the equation of a tangent line the first step is to take a derivative

Answer 2

thats \[dy/dx=1/x\]
aftr that?

Answer 3

if you had ln(x) then it would be 1/x
but for log(x) its 1/(x ln10) assuming the base on the log is 10

Answer 4

its natural log...

Answer 5

then it is 1/x

Answer 6

substituting in 1 for x gives you the slope of the tangent line. because you want a line it can be written as y = mx + b

Answer 7

you have m = 1, and a point (1, 0) so using that you should be able to get an equation for the line and then solve for where it crosses the y-axis

Answer 8

ok good. got it..