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I was wondering if anyone could help me with a question I was trying to work through today in our A-level math class.
a. Sketch the graph of y= ln(3x)
b. The normal to the curve at Point Q, with x coordinate q, passes through the origin. Find the equation of the normal and the value of q
I don’t know which to use
Part a was not too difficult and I was able to do that
However I have no idea how to tackle part b. I have only been able to express the gradient of the normal as -q, but cannot solve it. I think [but am not sure] that I can get to the equation
ln3q + q^2 = 0
but I cannot solve this.
I would be very grateful for some help.
Thanks
Homework Statement
a. Sketch the graph of y= ln(3x)
b. The normal to the curve at Point Q, with x coordinate q, passes through the origin. Find the equation of the normal and the value of q
Homework Equations
I don’t know which to use
The Attempt at a Solution
Part a was not too difficult and I was able to do that
However I have no idea how to tackle part b. I have only been able to express the gradient of the normal as -q, but cannot solve it. I think [but am not sure] that I can get to the equation
ln3q + q^2 = 0
but I cannot solve this.
I would be very grateful for some help.
Thanks