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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]  10 Oct 2006, 10:34
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

Senior Manager
Joined: 28 Aug 2006
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9^x = 1/3

(3^2)^x = 3^-1
3^2x = 3^-1
So 2x=-1
x=-1/2
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Posted: Tue Oct 10, 2006 1:34 pm Post subject: Exponent Question

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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
Joined: 13 Sep 2006
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Location: New York
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Kudos [?]: 8 [0], given: 0

Thanks so much asaf and cicerone. Very well explaned!
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