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Reply 1400
Original post by adorablegirl1202
June 2014 4c???


Find the gradient of the line using change in y/change in x which is 12/6. This means the gradient and thus a is 2. Now sub in given x and y values to find b.

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Original post by dnpnstn
you know g(x)=ln2x, so for g(x^2), it must be ln2x^2. You do the same with g(x^3)

This gives you:
ln2x + ln2x^2 + ln2x^3 = 6
You can then split this up using rules of logs
(lnx +ln2) + (lnx^2 + ln2) + (lnx^3 + ln2) =6
Bring down the powers of x and simplify, giving
6lnx + 3ln2 = 6
Then just solve for x

Thank you so much! I wasnt sure of the last two steps!
Original post by adorablegirl1202
Thanks!!! Do i just take the mod value to be positive? i mean i did origianally but then i thought should i have done it negative as well?


mod value is always positive :smile:
so basically Solomon papers are from A to L is it that the closer it is to L the harder it gets?


g(x)=ln2(x)
g(x)+g(x^2)+g(x^3)=6
when x=x ---> g(x)=ln2(x) ---> expand the brackets ---> ln2x
when x=x^2 ---> g(x^2)=ln2(x^2) ---> expand the brackets ---> ln2x^2
when x=x^3 ---> g(x^3)=ln2(x^3) ---> expand the brackets ---> ln2x^3

ln2x + ln2x^2 + ln2x^3 = 6
ln((2x) x (2x^2) x (2x^3)) = 6
ln(8x^6) = 6
8x^6 = e^6
x^6 = (e^6)/8
x= the sixth root of e^6/8

made it as clear as i can, hope this helps
Reply 1405
so lnx differentiates to 1/x
does any lnx differentiate to 1/x as in ln2x, ln3x etc.?
Original post by TeeEm
year 2044


Can I know what question and past paper that is from please?
Original post by beckm
so lnx differentiates to 1/x
does any lnx differentiate to 1/x as in ln2x, ln3x etc.?


Yes. Apply the chain rule and you'll see why
Original post by Seventeen
so basically Solomon papers are from A to L is it that the closer it is to L the harder it gets?


don't think so, pretty sure they are roughly all as hard as each other
Original post by beckm
so lnx differentiates to 1/x
does any lnx differentiate to 1/x as in ln2x, ln3x etc.?


ln2x differentiates to 2/2x which simplifies to 1/x
Reply 1410
Original post by Gilo98
Yes. Apply the chain rule and you'll see why


but if its like 2lnx then its 2/x?
Original post by beckm
but if its like 2lnx then its 2/x?


Yep
Reply 1412
Original post by rache11ouise
ln2x differentiates to 2/2x which simplifies to 1/x


right ok thank you
Reply 1413
Original post by Gilo98
Yep


fab thank you
Anyone? Hardest C3 paper (not including June 13) dont have much time to do alot of papers. Can only do 1/2


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Basically ln(u) wher u is function of x 1/u du/dx
Apply that everywhere. Simple application of chain rule.


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Original post by physicsmaths
Anyone? Hardest C3 paper (not including June 13) dont have much time to do alot of papers. Can only do 1/2


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June 2014 had slightly low boundaries. Papers have been fairly consistent otherwise. Maybe look at recent IAL papers.
Original post by physicsmaths
Anyone? Hardest C3 paper (not including June 13) dont have much time to do alot of papers. Can only do 1/2


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^^ what he said! ... Was just going to ask this
Original post by sagar448
Can I know what question and past paper that is from please?
year?
I just wrote it a few hours ago
look at solomon tiered papers they are set on difficultly, gold being the hardest

http://www.physicsandmathstutor.com/a-level-maths-papers/c3-edexcel-bronze-silver-gold/
(edited 8 years ago)

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