Checking for Accuracy in homework

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Joodez
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I noticed the scan was cut off on the second image at the bottom right, but I came up with x= 31/5

My first test in Calc I begins tomorrow and I want to know that I'm headed in the right direction. I think I understand to some extent how logarithms can be expanded and condensed though I'm still a bit unwary about their real purpose in mathematics, maybe someone has a decent guide to logs :D?
 
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