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I know this one is pretty simple but I am pretty weak with

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Senior Manager
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I know this one is pretty simple but I am pretty weak with [#permalink] New post 10 Oct 2006, 10:34
I know this one is pretty simple but I am pretty weak with exponents :oops: Can anyone advise on a good source/website etc.. to study these type of questions from?

Questions:

9^x=1/3, what is the value of x

Please show your work - Thanks very much!
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 [#permalink] New post 10 Oct 2006, 10:43
9^x = 1/3

(3^2)^x = 3^-1
3^2x = 3^-1
So 2x=-1
x=-1/2
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 [#permalink] New post 10 Oct 2006, 11:31
Posted: Tue Oct 10, 2006 1:34 pm Post subject: Exponent Question

--------------------------------------------------------------------------------

I know this one is pretty simple but I am pretty weak with exponents Can anyone advise on a good source/website etc.. to study these type of questions from?

Questions:

9^x=1/3, what is the value of x


9^X = 1/3
RHS is in the form of 3, lets convert LHS in a same fashion
(3^2)^X = 1/3^1
when exponents go up or down they change signs
Also (a^x)^y = a^x*y

3^2X = 3^-1
since bases are the same
2X = -1 ; X = -1/2
Senior Manager
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 [#permalink] New post 10 Oct 2006, 11:33
Thanks so much asaf and cicerone. Very well explaned! :-D
  [#permalink] 10 Oct 2006, 11:33
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