Checking for Accuracy in homework

Joodez
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Member warned about posting with no template, and posting many questions in one thread
5jrzp2.jpg

3142lhx.jpg

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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Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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