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#6 Re: Exercises » exponential and logarithmic equation » Today 17:08:28

How do you know what software was used? Or even if software was used.  Wolfram Alpha, Sage and Geogebra are available to everyone for free, why do you call them exotic? You can use any language, even a graphing calculator to do this. But it still does not address the real question - "How many roots are there?"

#7 Re: Help Me ! » Question trigonometry » Today 17:06:10

Parentheses mean different things in math in different situations.

Sometimes parentheses are used for grouping like this (a-b) this is not the same as sin(x). Here the parentheses are being used as the argument to the sin function.

#8 Re: Exercises » exponential and logarithmic equation » Today 07:14:53

The simplest idea is to use numerics, that means plot it first.


This immediately gives initial estimates for iteration.

You can explore a bit more with graphing to convince yourself that there are only two and this I felt would be adequate for this problem.

But, locating all the roots in non polynomial equations can be tricky. One way to prove that these are the only two would be to show that the curves continue decreasing and therefore never touch the x axis again.

Of course, whether or not this would be sufficient depends on where this problem originates. If it is a school or contest problem then there is almost without a doubt a clever idea that reduces the problem to an easy and clean solution. Therefore, I would continue to look for it.

But, if this problem originates from the real world we might have to be satisfied with the above suggestions.

Wait a second, there is someone in here right now that would take great delight in doing what she thought I could not. I will cease my efforts and let her succeed, only for the sake of chivalry of course.

#10 Re: Help Me ! » Simple Subtraction HElp » Today 05:06:01


If you had 5 dollars and your bills were 7 dollars do you not owe 2 dollars? Owing money is one practical use of negative numbers.

Did you read this?

It is pretty well explained out with nice diagrams. There you will see what I meant by counting left.

#17 Re: Help Me ! » Simple Subtraction HElp » Yesterday 18:02:24

If you count left 7 from 5 on the number line where would you be?

#19 Re: Maths Is Fun - Suggestions and Comments » More Topics Need » Yesterday 17:35:48

I do lots of analytical geometry, I prefer it to Eucidean. Why not post your questions, that is how you get help on a forum.

#20 Re: Maths Is Fun - Suggestions and Comments » About pictures in forum » Yesterday 17:34:08

Right click the picture and click "Copy Image Location" tell me when you did that.

#21 Re: Maths Is Fun - Suggestions and Comments » About pictures in forum » Yesterday 17:16:50

Let me know when you have uploaded the picture from your machine to

#22 Re: Maths Is Fun - Suggestions and Comments » About pictures in forum » Yesterday 16:32:52

I think you just posted the question without using a picture.

#23 Re: Maths Is Fun - Suggestions and Comments » About pictures in forum » Yesterday 16:24:20

Once you have uploaded to that site it is a simple matter to put it into your post.

Do you have a picture you want to post?

#24 Re: Maths Is Fun - Suggestions and Comments » About pictures in forum » Yesterday 16:20:49


You can upload picture to that site and then to your posts.

#25 Re: Help Me ! » Find integers » Yesterday 05:42:33

Hi Srikantan;

You did not answer the two questions I gave you.

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