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AS Maths question

AngloScot | 00:04 Sat 27th Nov 2004 | Quizzes & Puzzles

4 Answers

I am stuck on the following question and the answer/method is not in the book please help!!

Given that 3^x = 9^(y-1), show that x=2y-2

NB Where I have used ^ i mean 'to the power of'.

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PFD

here's a hint: 9=3^2

2y-2 = 2(y-1)

do you need any more hints?

mbee

If the above two haven't helped you enough, here's step by step explanation:

3^x = 9^(y-1)

3^x = (3^2)^(y-1) (as 9= 3^2)

3^x = 3^(2y-2) (as powers can be multiplied where there are brackets, that's not a very clear explanation but I'm sure you'll understand)

Therefore:

x= 2y-2

P.S. Don't worry, I'm doing AS maths too and it's pretty difficult.

Question Author

Cheers mbee, the method was what i was looking for.

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