My Year 12 Maths Methods students are now applying their differentiation skills to applications. Student D. has requested a worked solution to this question:

### For the function *y =* *log*_{e} (2x+3) , find the equations of the tangent and normal at the point on the graph where x = 0.

*y =*

*log*

_{e}(2x+3)My students often ask why the text answer is not in the form {y=mx+c}. I explain that they adopt the convention of writing solutions without fractions or negative numbers where possible. I personally prefer the standard y=mx+c and my students do to.

This is the most difficult part of maths. It is tough to learn all the equations. It is good that you provide all them together. Students can note down and can learn.

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