Use the change of base formula and the properties of logarithms to rewrite the expression as a single logarithm in the
indicated base.
-$\log 81 x ^ { 12 } + \log 27 y ^ { 9 } - \log _ { 9 } w ^ { 6 }$, base 3
A) $\log _ { 3 } \frac { x ^ { 12 } y ^ { 9 } } { z ^ { 6 } }$
B) $\log _ { 3 } \frac { x ^ { 3 } y ^ { 3 } } { z ^ { 3 } }$
C) $\log _ { 3 } \left( x ^ { 3 } + y ^ { 3 } - z ^ { 3 } \right)$
D) $\log _ { 3 } x ^ { 3 } y ^ { 3 } z ^ { 3 }$

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The Answer of Use the change of base formula and the properties of logarithms to rewrite the expression as a single logarithm in the
indicated base.
-$\log 81 x ^ { 12 } + \log 27 y ^ { 9 } - \log _ { 9 } w ^ { 6 }$, base 3
A) $\log _ { 3 } \frac { x ^ { 12 } y ^ { 9 } } { z ^ { 6 } }$
B) $\log _ { 3 } \frac { x ^ { 3 } y ^ { 3 } } { z ^ { 3 } }$
C) $\log _ { 3 } \left( x ^ { 3 } + y ^ { 3 } - z ^ { 3 } \right)$
D) $\log _ { 3 } x ^ { 3 } y ^ { 3 } z ^ { 3 }$

Use the Change of Base Formula and the Properties of Logarithms