How do you expand log (a^4/(b^3sqrtc))log(a4b3c)?

1 Answer
Jun 12, 2016

=4log a - 3logb - 1/2logc=4loga3logb12logc

Explanation:

Break the term into separate log terms first:

log(a^4/(b^3 sqrtc)) = log a^4 - logb^3 - logsqrtclog(a4b3c)=loga4logb3logc

Now apply some some log and indices laws

=4log a - 3logb - logc^(1/2)4loga3logblogc12

=4log a - 3logb - 1/2logc=4loga3logb12logc