Melody

Hey Melody44, Is that a question or a statement?

I thought you must be 44 years old or maybe your birthday is the 4th April.  LOL   :))

@@ End of Day Wrap    Sun 16/8/15     Sydney, Australia Time   11:40pm      ♪ ♫   

Good day to you all,   

Our great answers today were delivered by Alan, CPhill, Heureka and Dragonlance.  Thank you   

The significance of you post has only just dawned on me.  I mean the colours of the your flag.

That is so cool!

Greeen for faith and fertility.  That makes good sense.

White for purity, truth and peace.  I am not sure why white is widely used to signify purity.  I guess, if it is at all dirty it is not white any more so , that does make sense. 

Saffron I am wondering why/how saffron is linked to courage, sacrafice and spirit :/

Can you explain that Rosala ?

I like your Scarlet Macaw Melody44   

She is a really BIG sister to my Crimson Rosella :))

Thanks Alan, I really like this answer.

I doubt that I have absorbed it but it is the only explanation of electricity that I have ever understood.  :))

I just added this one to our puzzle sticky thread :)  Thanks Maia :))

October = 15107        

That does look rather wet Rosala :))

When did you move?  

I understand both answers but I do not understand this statement Geno

To get the answer of 5, change the first '5' into a '2'  

(Sorry I get you now - how on Earth did you figure that out!)

What does that mean and what has it got to do with your graphical solution ?

Your algebra is really neat Alan  

Geno has said that if 

2^{x + 1} + 5·2^{x - 2} = 104 

then 

2^{x + 1} + 5·2^{x - 2} - 104 =0

If we graph 

y=2^{x + 1} + 5·2^{x - 2} - 104 

and we graph

y=0    (this is just the x axis)

then, where the two graphs cross on the x axis will be the solution.

This is a technique that we use all the time but I think many students (even those who use it ) do not really understand what they are doing. :)

Here is the graph.