Question

Can I get some help please? Show your work

Thanks!

Answer 1

Hey Gary :) Nice to see you around

For this question, we want to use logarithmic rules to write the expression as a single logarithm.
Using the rule
`log_(b) ( M^(k) ) = k * log_(b) M` , we can simplify

`3log_(b) q` to
`log_(b) ( q^(3) )` . We can also simplify
`6log_(b)(v)` to
`log_(b)( v^(6))` .

So, we have
`log_(b) ( q^(3) )` +
`log_(b)( v^(6))`.

Another logarithmic rule is:

`log_(b)(M*N) = log_(b) M + log_(b) N`

Using this rule, we can use the logs we have calculated and change them to:

`log_(b)( q^(3) v^(6))`

This matches answer choice A.

Hope this helps! Feel free to contact me with any questions.