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greeneyes<3
 2 years ago
Best ResponseYou've already chosen the best response.0\[3(\log_{3}14\log_{3}7)+ 2 \log_{3}5\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1\[\log(14)\log(7)=\log(\frac{14}{7})=\log(2)\] is a start

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1then \[3\log(2)=\log(2^3)=\log(8)\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1and finally \[\log(8)=2\log(5)\log(8)+\log(5^2)=\log(8\times 25)=\log(200)\]

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1Made a typo, but I fixed it \[\Large 3\left(\log_{3}(14)\log_{3}(7)\right)+ 2 \log_{3}(5)\] \[\Large 3\log_{3}\left(\frac{14}{7}\right)+ 2 \log_{3}(5)\] \[\Large 3\log_{3}\left(2\right)+ 2 \log_{3}(5)\] \[\Large \log_{3}\left(2^3\right)+ \log_{3}(5^2)\] \[\Large \log_{3}\left(8\right)+ \log_{3}(25)\] \[\Large \log_{3}(8*25)\] \[\Large \log_{3}(200)\] So \[\Large 3\left(\log_{3}(14)\log_{3}(7)\right)+ 2 \log_{3}(5)=\log_{3}(200)\]
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