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andreev551 [17]
3 years ago
10

Can I get some help please? Show your work Thanks!

Mathematics
1 answer:
grigory [225]3 years ago
4 0
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.


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