SOLUTION: Simplify each of the following to a single logarithm: 1/2log(4x^2)+5log3x-log2

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Question 194210: Simplify each of the following to a single logarithm:
1/2log(4x^2)+5log3x-log2
Answer by nerdybill(6958) About Me  (Show Source):
You can put this solution on YOUR website!
1/2log(4x^2)+5log3x-log2
= log(4x^2)^(1/2) + log(3x)^5 - log 2
= log(2x) + log(243x^5) - log 2
= log(2x)(243x^5) - log 2
= log(486x^6) - log 2
= log(486x^6)/2
= log(243x^6)