SOLUTION: Express as a single logarithum, and, if possible, simplify. 1/4 loga x + 6 loga y - 2 loga x Possible answers: A) loga x7/4 ------ y4 B) loga x7/4y4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express as a single logarithum, and, if possible, simplify. 1/4 loga x + 6 loga y - 2 loga x Possible answers: A) loga x7/4 ------ y4 B) loga x7/4y4       Log On


   

Question 728300: Express as a single logarithum, and, if possible, simplify.
1/4 loga x + 6 loga y - 2 loga x
Possible answers:
A) loga x7/4
------
y4
B) loga x7/4y4
C) loga 1
------
x7/4y4
D) none
E) loga y6
-----
x7/4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29log%28a%2Cx%29%2B+6log%28a%2Cy%29-2log%28a%2Cx%29
=6log%28a%2Cy%29-%287%2F4%29log%28a%2Cx%29

=log%28a%2Cy%5E6%29-log%28a%2Cx%5E%287%2F4%29%29

=log%28a%2C%28+y6%2F+x%5E%287%2F4%29%29%29
so, your answer is:
E) log%28a%2C%28+y6%2F+x%5E%287%2F4%29%29%29