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Express logb(x13y16z9)\log b \left( \frac { x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 6 } } } { z ^ { 9 } } \right)

Question 42

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Express logb(x13y16z9)\log b \left( \frac { x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 6 } } } { z ^ { 9 } } \right) as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.

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