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C3 Iteration Chapter 4 help.

Hi guys, I know how to iterate and feel confident doing that.
But need help on a couple of re-arranging equation questions from the exercise book.

Q6 - how to rearrange e0.8x - 1/3-2x = 0 to be written as
i) x=1.5 - 0.5e-0.8x
ii) p ln(3-2x) stating the value of p

and

Q9 - show that 21-x =4x+1 can be arranged to x=1/2(2-x)+q

Many thanks.
(edited 9 years ago)
Reply 1
I'll try my best.

i. Rearrange to get e^0.8x on one side

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Krishna
(edited 9 years ago)
Original post by JoeMezz
Hi guys, I know how to iterate and feel confident doing that.
But need help on a couple of re-arranging equation questions from the exercise book.

Q6 - how to rearrange e0.8x - 1/3-2x = 0 to be written as
i) x=1.5 - 0.5e-0.8x
ii) p ln(3-2x) stating the value of p

and

Q9 - show that 21-x =4x+1 can be arranged to x=1/2(2-x)+q

Many thanks.


(i)You clearly have an error in the question. Should it have been e0.8x32x=0e^{0.8x}-3-2x=0 ?
If so just take the 2x to the other side and divide by 2.
(ii) Remember that eax=kax=lnke^{ax}=k \Rightarrow ax=\ln k

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