SOLUTION: express as an equivalent expression that is a single logarithm and if possible simplify. log(a)2x+3(log(a)x-log(a)y)

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Question 194114: express as an equivalent expression that is a single logarithm and if
possible simplify.
log(a)2x+3(log(a)x-log(a)y)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Apply "log rules".
You can review them here:
http://www.purplemath.com/modules/logrules.htm
.
log(a)2x+3(log(a)x-log(a)y)
First, combine terms inside parenthesis:
log(a)2x+3(log(a)(x/y))
Next, simplify right term:
log(a)2x + log(a)(x/y)^3
Finally:
log(a)(2x)(x/y)^3
log(a)(2x)(x^3/y^3)
log(a)(2^4/y^3)