Use the properties of logarithms to write $5 \log x + 4 \log y$ as the logarithm of a single quantity. Assume x and y are positive numbers.
A) $\log \left( \frac { x ^ { 5 } } { y ^ { 4 } } \right)$
B) $\log \left( x ^ { 5 } y ^ { 4 } \right)$
C) $\log \left( \frac { 5 x } { 4 y } \right)$
D) $\frac { \log x ^ { 5 } } { \log y ^ { 4 } }$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, $5 \log x + 4 \log y$ can be rewritten as $\log(x^5) + \log(y^4)$, which simplifies to $\log(x^5y^4)$ by the product rule of logarithms.

Use the Properties of Logarithms to Write 5log⁡x+4log⁡y5 \log x + 4 \log y5logx+4logy

Use the Properties of Logarithms to Write $5 \log x + 4 \log y$