anthropos Posted July 30, 2005 Share Posted July 30, 2005 Here's a maths question I have found in a maths test. Solve for x. Give me some hints please...I am clueless. Anyway ignore those green squares. Link to comment Share on other sites More sharing options...
Dave Posted July 30, 2005 Share Posted July 30, 2005 I believe you can solve it by saying that: [math]2^x = 3 \sqrt{3\sqrt{3\sqrt{3 \dots}}} = 3 \sqrt{2^x}[/math]. Haven't done one of these in a while though, so I could be wrong Link to comment Share on other sites More sharing options...
Primarygun Posted July 30, 2005 Share Posted July 30, 2005 My method is to express the right hand side with the base 3. Then using [Math] log [/Math] can find the answer. Dave, don't worry, you always get the right answer. Link to comment Share on other sites More sharing options...
Primarygun Posted July 30, 2005 Share Posted July 30, 2005 Yours is a good method. There is a similar problem using your method to figure the solution in my local mathematical olympiad Link to comment Share on other sites More sharing options...
anthropos Posted July 30, 2005 Author Share Posted July 30, 2005 Thanks everybody! Link to comment Share on other sites More sharing options...
Dave Posted July 30, 2005 Share Posted July 30, 2005 It's a pretty standard way of dealing with things like continued fractions and nested things in general. You'll still need logs to get the answer, which I think is [math]x = \frac{\log 3}{\log 2}[/math]. Link to comment Share on other sites More sharing options...
anthropos Posted July 30, 2005 Author Share Posted July 30, 2005 Thanks guys, you rock! Anyway, I am really poor at solving questions on logarithms. I need more practice! Link to comment Share on other sites More sharing options...
anthropos Posted August 4, 2005 Author Share Posted August 4, 2005 AHA!!! I finally understand what's going on because we got back our papers and our dear teacher explained to us why! Aha, he was kind of frustrated because we only understood what was going on during his third attempt of explanation. Anyway, thanks Dave! Link to comment Share on other sites More sharing options...
Dave Posted August 4, 2005 Share Posted August 4, 2005 Not a problem. Link to comment Share on other sites More sharing options...
Primarygun Posted August 4, 2005 Share Posted August 4, 2005 AHA!!! I finally understand what's going on because we got back our papers and our dear teacher explained to us why! Aha, he was kind of frustrated because we only understood what was going on during his third attempt of explanation. Anyway, thanks Dave!__________________ So you did understand him or you've already learnt the solution before his speaking? Link to comment Share on other sites More sharing options...
anthropos Posted August 4, 2005 Author Share Posted August 4, 2005 I mean at first I sent a message to Dave saying I don't understand, then later I seemed to grasp it (and not really at that same time...that ambiguity was horrible) and later with my teacher's aid, I totally grasp it! Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now