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Write the Expression as a Single Logarithm with Coefficient 1 3logmy7logmx23 \log _ { m } y - 7 \log _ { m } x ^ { 2 }

Question 178

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers.
- 3logmy7logmx23 \log _ { m } y - 7 \log _ { m } x ^ { 2 }


A) logm(3y7x2) \log _ { m } \left( \frac { 3 y } { 7 x ^ { 2 } } \right)
B) logm(y3x14) \log _ { m } \left( \frac { \mathrm { y } ^ { 3 } } { \mathrm { x } ^ { 14 } } \right)
C) logm(y3x9) \log _ { m } \left( \frac { y ^ { 3 } } { x ^ { 9 } } \right)
D) logmy3logm14\frac { \log _ { m } \mathrm { y } ^ { 3 } } { \log _ { \mathrm { m } } 14 }

Correct Answer:

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