SOLUTION: Express in terms of logarithms of x, y, and z: log [a] 7xy^5/ [z]^4

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Question 29823: Express in terms of logarithms of x, y, and z:
log [a] 7xy^5/ [z]^4
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
log [a] 7xy^5/ [z]^4
=log(7xy^5)-log(z^4) [(base being a) (using the rule: log(m/n) =logm -logn]
=[log(7)+log(x)+log(y^5)]-log(z^4) (base being a)
= log(7)+log(x)+5log(y)]-4log(z)
[(base being a) (using the rule: log(m^n) = nlog(m) for the same base ]