Condense the expression to the logarithm of a single quantity. ?
Log x - 2log y + 3log 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

Quizplus · Accepted Answer

The expression can be simplified using the logarithm properties: $\log a - \log b = \log \frac{a}{b}$ and $n\log a = \log a^n$. Applying these, we get $\log x - 2\log y + 3\log z = \log \frac{xz^3}{y^2}$.

Condense the Expression to the Logarithm of a Single Quantity log⁡z3xy2\log \frac { z ^ { 3 } } { x y ^ { 2 } }logxy2z3​

Condense the Expression to the Logarithm of a Single Quantity $\log \frac { z ^ { 3 } } { x y ^ { 2 } }$