Acnhduy Posted October 3, 2013 Share Posted October 3, 2013 log52 (x-3) = xOne of my friends came up with this equation and asked me to graph it. I haven't seen an equation like this, and do not know how to graph using mapping notation or any other methods. Is it possible to graph this?Looking at the equation, I would assume that there can only be one answer to this becauselog52 can only have one answer since this means that 5x = 2Can someone please point me in the right direction?Thanks you Link to comment Share on other sites More sharing options...
EdEarl Posted October 3, 2013 Share Posted October 3, 2013 Divide both sides of the equation by (x-3) and solve. Link to comment Share on other sites More sharing options...
Acnhduy Posted October 3, 2013 Author Share Posted October 3, 2013 How would I go about graphing it? log52 (x-3) = x log52 = x (x-3) log52 = x2 - 3x what do I do after this ???? thanks. Link to comment Share on other sites More sharing options...
studiot Posted October 3, 2013 Share Posted October 3, 2013 (edited) log52 (x-3) = x log52 = x (x-3) log52 = x2 - 3x How is this dividing by x-3? What exactly do you mean by the left hand side of the original equation? What happened in your other thread this morning? Edited October 3, 2013 by studiot Link to comment Share on other sites More sharing options...
overtone Posted October 3, 2013 Share Posted October 3, 2013 my guess is that maybe some teacher wants the guy to graph the function "log52(x-3)" and the function "x" on the same axes, notice the intersection point(s), and recognize the solution . 2 Link to comment Share on other sites More sharing options...
Acnhduy Posted October 3, 2013 Author Share Posted October 3, 2013 Oh, log52 (x-3) = x log52 = x / (x-3) Do I use the definition of the log?5x/(x-3) = 2 I am really confused as to what I am doing. Link to comment Share on other sites More sharing options...
EdEarl Posted October 4, 2013 Share Posted October 4, 2013 log52 is a constant. I was not sure whether the problem is log5(2 (x-3)) = x or as you have done the division as (x-3)log52 = x. Overtone is probably right. my guess is that maybe some teacher wants the guy to graph the function "log52(x-3)" and the function "x" on the same axes, notice the intersection point(s), and recognize the solution . But, solving algebraically is a good check to see that the graphic solution is correct. 1 Link to comment Share on other sites More sharing options...
Acnhduy Posted October 4, 2013 Author Share Posted October 4, 2013 How would I actually graph it though? Link to comment Share on other sites More sharing options...
EdEarl Posted October 4, 2013 Share Posted October 4, 2013 (edited) How would I actually graph it though? Each side of the equation, can be graphed. f(x) = x f(x) = log52 (x-3) Edited October 4, 2013 by EdEarl Link to comment Share on other sites More sharing options...
Acnhduy Posted October 4, 2013 Author Share Posted October 4, 2013 Oh I see, so they are both linear functions and I am looking for the point of intersection. Link to comment Share on other sites More sharing options...
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