Math

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use the properties of logarithms to simplify the logarithmic expression.

log10 (9/300)

Please explain!!

  • Math -

    Subtracting logs is the equivalent of dividing.
    log 9 - log 300 = ??

  • Math -

    I think they want you to show the two values as 9=3^2 and 300=3x10^2

    so you have

    log 3^2 - log(3x10^2)
    =2 log 3 - (log3 + 2log10)

    can you take it from here?

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