SOLUTION: Express in terms of logarithms of x, y, and z: log[a] 7xy^5/ z^4
Possible answers:
(1) 35+log[a]xy-4loga^z
(2) log[a]7+log[a]x+5log[a]y-4log[a]z
(3)log[a]7+log[a]x+5log[a]y/
Algebra.Com
Question 29871: Express in terms of logarithms of x, y, and z: log[a] 7xy^5/ z^4
Possible answers:
(1) 35+log[a]xy-4loga^z
(2) log[a]7+log[a]x+5log[a]y-4log[a]z
(3)log[a]7+log[a]x+5log[a]y/ 4log[a]z
(4) 7+log[a]x+5log[a]y-4log[a]z
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
log[a] {7xy^5/ z^4}
=log[a] (7xy^5) - log[a](z^4)
using {log[a](quotient) = log[a](nr)-log[a](dr)}
= log[a](7)+log[a](x)+log[a](y^5)- log[a](z^4)
using {log[a](product) = sum of logarithms}
= log[a](7)+log[a](x)+5log[a](y)- 4log[a](z)
using {log[a](m^n) = nlog[a](m) }
Which is your choice (2) log[a]7+log[a]x+5log[a]y-4log[a]z
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