Use the properties of logarithms to write $\log x ^ { 8 } y$ as a sum, difference, or product of logarithms. Assume x and y are positive numbers.
A) $8 \log x - \log y$
B) $\log x + 8 \log y$
C) $8 \log x + \log y$
D) $\log x - 8 \log y$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, specifically the power rule ($\log a^b = b \log a$) and the product rule ($\log ab = \log a + \log b$), we can rewrite $\log x^8y$ as $8 \log x + \log y$.

Use the Properties of Logarithms to Write log⁡x8y\log x ^ { 8 } ylogx8y

Use the Properties of Logarithms to Write $\log x ^ { 8 } y$