How to Solve the Equation log(4x) = 1 + log(2, 2x)?

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Solve the equation log4x=1+log22x, x>0
 
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The form you started with had three sections, including relevant equations and your efforts at a solution. What are some relevant equations, and what have you tried to solve this equation?

BTW, this should have gone into the Precalculus section, not the Calculus & Beyond section.
 

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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