Use the Properties of Logarithms to Expand the Expression as a Sum,difference,and/or

question 8

Multiple Choice

Use the properties of logarithms to expand the expression as a sum,difference,and/or constant multiple of logarithms.(Assume all variables are positive. ) ? $\log _ { 8 } \frac { x ^ { 3 } } { y ^ { 3 } z ^ { 3 } }$ ?

• A)3log₈ x + 3log₈ y + 3log₈ z
• B)3log₈ x + 3log₈ y - 3log₈ z
• C) \(\frac { 3 \log _ { 8 } x } { 3 \log _ { 8 } y \times 3 \log _ { 8 } z }\)
• D)3log₈ x - 3log₈ y - 3log₈ z
• E)3log₈ x - 3log₈ y + 3log₈ z

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