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10^(-10log3)

How to solve this???

  • math -

    one of the log properties is .

    a^(loga k )
    = k

    we have that case, if we change
    10^(-10log3)
    to
    10^(log 3^-10)
    we get 3^-10 = 1/59049 ---> exact answer
    or .000016935

    ( if I use my calculator
    10^(-4.771212547)
    = .000016935

  • math -

    do u know how I could find this in a way that creates a fractional form?

  • math -

    As Reiny noted,
    3^-10 = 1/59049

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