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How do you expand a log into prime numbers?

For example, how would you expand log4(22/5) into prime numbers using log properties?

1 Answer

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  • DWRead
    Lv 7
    9 years ago

    22/5 = 2×11/5

    2, 5, and 11 are prime numbers

    log₄(22/5) = log₄(2×11/5)

    = log₄(2) + log₄(11) - log₄(5)

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