1 Answer

Byron Ruth · Answer 1 · 2023-09-16T23:47:39+0000

Answer:

$\log_7(u^5v^8)$

Step-by-step explanation:

To write the expression as a single logarithm, we will use the following properties

$\begin{gathered} 5\log_7x=\log_7x^5 \\ \log_7x+\log_7y=\log_7(xy) \end{gathered}$

Using the first property, we get

$5\log_7u+8\log_7v=\log_7u^5+\log_7v^8$

Then, we need to use the second property, so

$5\log_7u+8\log_7v=\log_7(u^5v^8)$

Therefore, the answer is

$\log_7(u^5v^8)$

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