C3 Exponentials

You want to get the equation in a form where the x is on one side.

Subtract ln x and use log laws to rearrange for x.

could you do the first few lines for me? i find it easier working backwards to understand a method
thankyou

ln(2x+1)-ln x = 2
ln((2x+1)/x)=2
(2x+1)/x = e^2

You can solve it from here, but if you need more help, just ask

Please correct me if I'm wrong but I dont think this gives a fully simplified answer (see above). This is because would still have to us the inverse of ln to get rid of the e exponential.

My answer isn't simplified, I left that for the OP to complete - but in simplifying the answer, all is required is (2x+1)/x= e^2 => x = 1/(e^2-2). I don't need to remove the exponential since e^2 is a number, just like 4 is.

Oh okay. Thank you. I was just unsure if it mattered how it was done in the exam. I apologise if I'm asking stupid questions as I'm fairly new to the maths forum (as I'm doing A level Maths and Further Maths in one year).

No worries, and good luck with all your exams, that's a lot of work!

Wow that's seriously impressive! Thanks, I'm on AQA. What about you?

sorry for the late reply. Haven't been on tsr for a while. I'm doing edexcel for all my subjects. What other subjects are you doing?

I'm on AQA for all of my subjects, doing Maths, Further Maths, Physics and Computer Science.

That's awesome. Good luck with all your exams.