Given the logarithmic expression:
[tex]8\log _2(v)+\log _2(w)[/tex]
Let's find the equivalent expression.
To find the equivalent expression, apply the product property of lograithms:
[tex]\begin{gathered} log_2(v^8)+\log _2(w) \\ \\ =\log _2(v^8w) \end{gathered}[/tex]
Therefore, the equivalent expression is:
[tex]\log _2(v^8w)[/tex]
ANSWER:
[tex]\log _2(v^8w)[/tex]
