Question

3logx/4 + 3 log x/5 =5 logx- log125

qual a resolução????????

Answer 1

$3\log (x/4)+3\log (x/5)=5logx-\log 125\\\\ 3\log x-3 \log 4+3\log x-3 \log5=5\log x-3\log 5\\\\ 3\log\ x-3 \log 4+3\log x-\diagup\!\!\!\!3 \diagup\!\!\!\!\log\diagup\!\!\!\!5=5\log x-\diagup\!\!\!\!3\diagup\!\!\!\!\log \diagup\!\!\!\!5\\\\6\log x - 3\log 4=5\log x\\\\\diagup\!\!\!\!6^{1}\log x - 3\log 4=\diagup\!\!\!\!5\log x\\\\\log x-3\log 4=0\\\\\log x=3\log 4\\\\\log x=\log 4^{3}\\\\\log x=\log 64\\\\\boxed{x=64}$

Dúvidas? Comente.