Hi. The question says to solve logx^{2} = (logx)^{2}.

My brain tells me to do this:

10^{logx^{2}} = 10^{logx} * 10^{logx}

x^{2} = x * x

x = x

The text solution says that my brain is mistaken and the answer should be 1 or 0. Not too sure how to get that. I can see that they working by plugging them into the original equation but I can't figure out how to come up with them as answers.

Lol, okay, let's try again.



As I see it, it's not this easy to solve... so, let's make use of a substitution, that is, let:



So? We first find all the log x.





Now, let's use y = log x.



Can you solve for y now? Once you get that, replace y again by log x. This time, you should get the answer. Post what you do! :)

Okay, I've got it! Here it goes:







so... logx=0 and logx-2=0...





and...





yay!:)