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What is the value of log Subscript 6 Baseline StartFraction 1 Over 36 EndFraction?

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  1. 3 May, 22:36
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    -2

    Step-by-step explanation:

    Let x be the unknown value

    Log₆ (1/36) = x

    (1/36) = 36⁻¹ = (6²) ⁻¹ = 6⁻²

    Log₆ (1/36) = Log₆ 6⁻² = - 2 Log₆ 6

    Log₆ 6 = 1

    -2 Log₆ 6 = - 2 (1) = - 2
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