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

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I know this one is pretty simple but I am pretty weak with [#permalink]

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10 Oct 2006, 11:34
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

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10 Oct 2006, 11:43
9^x = 1/3

(3^2)^x = 3^-1
3^2x = 3^-1
So 2x=-1
x=-1/2
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10 Oct 2006, 12:31
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
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10 Oct 2006, 12:33
Thanks so much asaf and cicerone. Very well explaned!
10 Oct 2006, 12:33
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