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.