Use the Laws of Logarithms to combine the expression.

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

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)