Condense the expression to the logarithm of a single quantity. $$\log x - 2 \log y + 3 \log z$$
A)$\log \frac { z ^ { 3 } } { x y ^ { 2 } }$
B) $\log \frac { x } { y ^ { 2 } z ^ { 3 } }$
C) $\log \frac { x y ^ { 2 } } { z ^ { 3 } }$
D) $\log \frac { y ^ { 2 } } { x z ^ { 3 } }$
E) $\log \frac { x z ^ { 3 } } { y ^ { 2 } }$

Question

Condense the expression to the logarithm of a single quantity. $$\log x - 2 \log y + 3 \log z$$ 
A)$\log \frac { z ^ { 3 } } { x y ^ { 2 } }$
B) $\log \frac { x } { y ^ { 2 } z ^ { 3 } }$
C) $\log \frac { x y ^ { 2 } } { z ^ { 3 } }$
D) $\log \frac { y ^ { 2 } } { x z ^ { 3 } }$
E) $\log \frac { x z ^ { 3 } } { y ^ { 2 } }$

Quizplus · Accepted Answer

Using the properties of logarithms, the expression can be rewritten as $\log x - \log y^2 + \log z^3$, which simplifies to $\log \frac{xz^3}{y^2}$.

Condense the Expression to the Logarithm of a Single Quantity log⁡x−2log⁡y+3log⁡z\log x - 2 \log y + 3 \log zlogx−2logy+3logz

Condense the Expression to the Logarithm of a Single Quantity $\log x - 2 \log y + 3 \log z$