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# AQA Core 2 Maths prep. thread (25/05/16)

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1. (Original post by mbb123mbb)
Wait. Inductive sequences? What do you mean? For C2 (and C1) we have arithmetic sequences and geometric sequences, and we need to know how to play around with those...but what are inductive sequences? Can't find them in the textbook.
(I am doing Edexcel C2 by the way)
I'm doing AQA, if it's not in your textbook then you probably don't have it in your spec
2. Got a question

Log (base 3) XY = 5
Log (Base 3) X Multiplied by Log (base 3) Y = 6,

solve the simultaneus equation any ideas?
3. (Original post by SunDun111)
Got a question

Log (base 3) XY = 5
Log (Base 3) X Multiplied by Log (base 3) Y = 6,

solve the simultaneus equation any ideas?
Split the first log up into the sum of 2 logs and then make a substitution of say and . Might make it easier to see.
4. If you have a question like 3^(2x-1) = 5, in aqa core 2 you can just use your calculator's log function to work it out i.e. log 3 5 = 2x-1?
5. (Original post by B_9710)
Split the first log up into the sum of 2 logs and then make a substitution of say and . Might make it easier to see.
cant do it still? can you expand
6. (Original post by SunDun111)
cant do it still? can you expand
So we have
and .
If we let and we get the simultaneous equations as

and .
You think you can take it from here?
7. (Original post by B_9710)
So we have
and .
If we let and we get the simultaneous equations as

and .
You think you can take it from here?
Yeah did it thanks!
8. (Original post by RueXO)
I'm doing AQA, if it's not in your textbook then you probably don't have it in your spec
Yup, thought so, thank you
9. quick question guys, whenever they is a minus outside say for example .. - root 4, would the answer be minus 2?

another question on that, if i have x^0.5 = -2, woul the answer be 4?
10. Great to see everybody helping each other, really proud of everyone! Good luck tomorrow on core 2 guys, hopefully it will be a decent paper! We can then make an unofficial mark scheme tomorrow
11. (Original post by SunDun111)
quick question guys, whenever they is a minus outside say for example .. - root 4, would the answer be minus 2?

another question on that, if i have x^0.5 = -2, woul the answer be 4?
yes that is correct!
12. (Original post by SunDun111)
quick question guys, whenever they is a minus outside say for example .. - root 4, would the answer be minus 2?

another question on that, if i have x^0.5 = -2, woul the answer be 4?
.
.
If you graph then the range is .
So has no solutions.
13. On the spec for aqa it says that you should use mathematical notation in your working like the 'therefore' symbol. I've been using arrows to show the progression of my working but apparently the arrow means 'implies', so if I use symbols incorrectly but my working is still correct will I be ok?
14. In C2 for logarithms how do you manipulate a question with three minus logs??
Coz I know that when there's a minus you divide the logs but how do you do that if there are three minuses??

Ex: log(2)11x+3 - log(2)5x - 2log(2)x = 1
15. (Original post by B_9710)
.
.
If you graph then the range is .
So has no solutions.
kinda confused me haha, so the square root of - 4 (when minus is on the outside) has no solutiosn?
16. (Original post by CrystalPark)
In C2 for logarithms how do you manipulate a question with three minus logs??
Coz I know that when there's a minus you divide the logs but how do you do that if there are three minuses??

Ex: log(2)11x+3 - log(2)5x - 2log(2)x = 1
take one of them to the other side, and turn the 1 into a log, so you get two logs on each side when they are all combines, so the logs cancel.
17. (Original post by SunDun111)
kinda confused me haha, so the square root of - 4 (when minus is on the outside) has no solutiosn?
That's not quite what i'm saying. and that's perfectly well defined. which of course is not a real number. However you simply cannot have . You can square both sides and get x=4, but putting x=4 into the square root returns 2, not -2. Taking the square root of a number never gives you a negative number.
18. (Original post by SunDun111)
take one of them to the other side, and turn the 1 into a log, so you get two logs on each side when they are all combines, so the logs cancel.
So would you turn 1 into log(2)2 and then cancel the logs??
Does that work??
19. good luck everyone
20. How was it? Did anyone get a = 28, d = -2 and (2x - 5)(2x - 5) = 0 for the last question?

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