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7 August, 13:51

Use the Laws of Logarithms to combine the expression.

2 (log6 (x) + 3 log6 (y) - 5 log6 (z))

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  1. 7 August, 14:46
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    Log6 (x² y⁶ / z¹⁰)

    Step-by-step explanation:

    Taking into account that

    Log6 (x) + log6 (y) = log6 (xy),

    Log6 (x) - log6 (y) = log6 (x/y)

    And a*log6 (x) = log6 (x^a)

    We have:

    2 (log6 (x) + 3 log6 (y) - 5 log6 (z)) =

    2 (log6 (x) + log6 (y³) - log6 (z⁵))

    2 log6 (x y³ / z⁵)

    Log6 (x² y⁶ / z¹⁰)
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