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Allen Zelichenok
Allen Zelichenok asked in Science & MathematicsMathematics · 4 years ago

log_sqrt of 8 to 512+log_512 to sqrt of 8?

2 Answers

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  • ?
    Lv 7
    4 years ago
    Favorite Answer

    　

    Should be: Log_sqrt of 8 OF 512+log_512 OF sqrt of 8

    log_√8(512) + log_512(√8)

    = log₈(512)/log₈(√8) + log₈(√8)/log₈(512)

    = log₈(8^3)/log₈(8^(1/2)) + log₈(8^(1/2))/log₈(8^3)

    = 3/(1/2) + (1/2)/3

    = 6 + 1/6

    = 6 1/6

  • Polyhymnio
    Lv 7
    4 years ago

    log(sqrt(8))/log(512) + log(512)/log(sqrt(8)) = 37/6

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