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September 16, 2014

September 16, 2014

Posted by **amber** on Thursday, February 19, 2009 at 8:49am.

3125^x=1/square root 5

- math- need now -
**Reiny**, Thursday, February 19, 2009 at 9:11amdid you realize that 3125 is a power of 5, namely 3125 = 5^5

and √5 = 5^(1/2) then 1/√5 = 5^(-1/2)

so your equation becomes

(5^5)^x = 5^(-1/2)

5^5x = 5^(-1/2)

then 5x = -1/2

x = -1/10

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