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

solve the equation by expressing each side as a power of the same base and then equating exponents
3125^x=1/square root 5

  • math- need now - , Thursday, February 19, 2009 at 9:11am

    did 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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