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Logarithms

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Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]5ã7

  • Logarithms -

    What is 5ã7 ?

  • Logarithms -

    suppose to be SQRT7

  • Logarithms -

    is that 5√7 or √7 ?

    log164 = 1/2
    log5 5√7 is not exact
    was that base supposed to be 7 ?

  • Logarithms -

    log[16]4*log[5]5ã7 is what the question, I am unsure how to solve exact

  • Logarithms -

    log[16]4*log[5]5sqrt7

  • Logarithms -

    log[16]4*log[5]5sqrt7
    = (1/2(*(log[5]5 + log[5]√7)
    = (1/2)( 1 + (1/2)log[5] 7)
    = 1/2 + (1/4) log57

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