Question

Which is the following logarithmic expression is equivalent to the logarithmic expression shown below?

Answer 1

Given the logarithmic expression:

`8\log _2(v)+\log _2(w)`

Let's find the equivalent expression.

To find the equivalent expression, apply the product property of lograithms:

`\begin{gathered} log_2(v^8)+\log _2(w) \\ \\ =\log _2(v^8w) \end{gathered}`

Therefore, the equivalent expression is:

`\log _2(v^8w)`

ANSWER:

`\log _2(v^8w)`