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wakawu
Lv 5
wakawu asked in Science & MathematicsMathematics · 1 decade ago

log functions question?

log (base 6) x - 5log (base 6) y = 4

solve for y in terms of x.

1 Answer

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  • 1 decade ago
    Favorite Answer

    let "log_b(x)" = "log, base b, of x"

    log_6(x) - 5log_6(y) = 4

    log_6(x) - log_6(y^5) = 4

    log_6(x / y^5) = 4

    6^4 = x / y^5

    1296 = x / y^5

    y^5 = x / 1296

    y = (x / 1296)^(1/5)

    ♣♦

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