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If 5^6x = 125,000 What does 5^(2x-1) equal? I know this

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If 5^6x = 125,000 What does 5^(2x-1) equal? I know this [#permalink] New post 03 Aug 2008, 18:29
If 5^6x = 125,000
What does 5^(2x-1) equal?



I know this problem has been posted before, but I printed it out and now I can't find the explanation anywhere. Any help would be greatly appreciated. :)

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Re: Tricky exponents [#permalink] New post 03 Aug 2008, 18:37
brokerbevo wrote:
If 5^6x = 125,000
What does 5^(2x-1) equal?



I know this problem has been posted before, but I printed it out and now I can't find the explanation anywhere. Any help would be greatly appreciated. :)


sorry, 5^(6x) / 5^3 does not equal to 5^2x

Last edited by gmatnub on 03 Aug 2008, 18:58, edited 2 times in total.
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Re: Tricky exponents [#permalink] New post 03 Aug 2008, 18:39
5^6x = 5^2x*3 = (5*10)^3
=> 5^2x = 5*10
=> 5^2x/5 = 10
=> 5^2x-1 = 10
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Re: Tricky exponents [#permalink] New post 03 Aug 2008, 18:51
abhijit_sen wrote:
5^6x = 5^2x*3 = (5*10)^3
=> 5^2x = 5*10
=> 5^2x/5 = 10
=> 5^2x-1 = 10


could you explain in a little more detail how you go from step to step?

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Re: Tricky exponents [#permalink] New post 03 Aug 2008, 19:03
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brokerbevo wrote:
abhijit_sen wrote:
5^6x = 5^2x*3 = (5*10)^3
=> 5^2x = 5*10
=> 5^2x/5 = 10
=> 5^2x-1 = 10


could you explain in a little more detail how you go from step to step?



cuberoot this 5^6x = 5^2x*3 = (5*10)^3 on both sides

to give 5^2x = 5*10
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Re: Tricky exponents [#permalink] New post 03 Aug 2008, 19:06
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gmatnub wrote:
cuberoot this 5^6x = 5^2x*3 = (5*10)^3 on both sides

to give 5^2x = 5*10

Thanks for explaning. :)
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Re: Tricky exponents [#permalink] New post 04 Aug 2008, 05:49
Cool. That makes sense now. Thanks. :P
+1 for abhijit_sen and gmatnub

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Re: Tricky exponents   [#permalink] 04 Aug 2008, 05:49
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