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

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

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03 Aug 2008, 19:29
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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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03 Aug 2008, 19:37
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, 19:58, edited 2 times in total.

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03 Aug 2008, 19:39
5^6x = 5^2x*3 = (5*10)^3
=> 5^2x = 5*10
=> 5^2x/5 = 10
=> 5^2x-1 = 10

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03 Aug 2008, 19:51
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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03 Aug 2008, 20:03
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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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03 Aug 2008, 20:06
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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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04 Aug 2008, 06:49
Cool. That makes sense now. Thanks.
+1 for abhijit_sen and gmatnub
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Re: Tricky exponents   [#permalink] 04 Aug 2008, 06:49
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