Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
-$\log \left( 7 y ^ { 5 } - 6 y ^ { 3 } \right) + \log y ^ { - 3 }$
A) $\log \left( 7 y ^ { 5 } - 6 y ^ { 3 } - 3 y \right)$
B) $\log \left( 7 y ^ { 2 } - 6 \right)$
C) $\log \left( \frac { 7 } { 6 y } \right)$
D) $\log \left( 7 y ^ { 5 } - 6 y ^ { 3 } + \frac { 1 } { y ^ { 3 } } \right)$

Question

Quizplus · Accepted Answer

The expression can be combined using the property $\log a + \log b = \log(ab)$. Thus, $\log \left( 7 y ^ { 5 } - 6 y ^ { 3 } \right) + \log y ^ { - 3 } = \log \left( (7 y ^ { 5 } - 6 y ^ { 3 }) \cdot y^{-3} \right)$. Simplifying gives $\log \left( 7 y^2 - 6 \right)$.

Write the Logarithmic Expression as a Single Logarithm with Coefficient log⁡(7y5−6y3)+log⁡y−3\log \left( 7 y ^ { 5 } - 6 y ^ { 3 } \right) + \log y ^ { - 3 }log(7y5−6y3)+logy−3

Write the Logarithmic Expression as a Single Logarithm with Coefficient $\log \left( 7 y ^ { 5 } - 6 y ^ { 3 } \right) + \log y ^ { - 3 }$