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Use Properties of Logarithms to Expand the Logarithmic Expression as Much

Question 6

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
- logbxy3z6\log _ { b } \frac { x y ^ { 3 } } { z ^ { 6 } }


A) logbx+logby3logbz6\log _ { b } x + \log _ { b } y ^ { 3 } - \log _ { b } z ^ { 6 }
B) logbx+3logby+6logbz\log _ { b } x + 3 \log _ { b } y + 6 \log _ { b } z
C) logbx+logby3+logbz6\log _ { b } x + \log _ { b } \mathrm { y } ^ { 3 } + \log _ { \mathrm { b } } \mathrm { z } ^ { 6 }
D) logbx+3logby6logbz\log _ { \mathrm { b } } \mathrm { x } + 3 \log _ { \mathrm { b } } \mathrm { y } - 6 \log _ { \mathrm { b } } \mathrm { z }

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