The discussion revolves around the expansion of logarithmic expressions involving radicals, specifically the expression log2√x. Participants are exploring how to manipulate this expression using properties of logarithms and fractional exponents.
The discussion is active, with participants sharing their thoughts and questioning their reasoning. Some have suggested writing √x with a fractional exponent, while others are exploring the implications of this approach. There is no explicit consensus yet on the correct form of the expression.
Participants note that their textbook examples do not include radicals, which may be influencing their understanding and approach to the problem.
Write √x with a fractional exponent.Deagonx said:Homework Statement
log2√x
Homework Equations
The Attempt at a Solution
I thought that it might be something like log2x - log2x but that's not right. The book examples don't have any radicals.
Deagonx said:That makes a lot more sense... So is it 1/2(log2x) or (log2x)/2(log2x)
Why would you even consider that [itex]log_2(\sqrt{x})= 1/2[/itex] for all x?Deagonx said:That makes a lot more sense... So is it 1/2(log2x) or (log2x)/2(log2x)