log equation

Go for it. You'll need basic rules of logarithms.

log(a) + log(b) = log(a*b)

Stuff like that. Let's see what you get.
 
stuart clark said:
Calculate value of \(\displaystyle x\) in \(\displaystyle log_{7}(x^3+7)-log_{7}(x+3) = 2\)
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Hint: if you had \(\displaystyle log_{7}(y) = 2\), could you solve that?

There is a method, attributed I think to Proclus, about solving problems backwards. It is discussed, if I remember correctly, in Polya's book, How to Solve It.
The point is to imagine yourself at the end of the road with a problem that you could solve and start working your way backward to the problem you have. Then you reverse the process, and you have a reasoned path from original problem to solution.
 
JeffM said:
Polya's book, How to Solve It.

A wonderful book.
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I like the following exercise (paraphrased) from "How to Solve It".

You walk 10 miles due south. You then walk 10 miles due east. You then walk 10 miles due north. What color is the bear? :)

 
Didn't you leave out, "You end up back where you started."
 
Re:

mmm4444bot said:
JeffM said:
Polya's book, How to Solve It.

A wonderful book.
Click to expand...

I like the following exercise (paraphrased) from "How to Solve It".

You walk 10 miles due south. You then walk 10 miles due east. You then walk 10 miles due north.

You come back to the point you started - and you see a bear

What color is the bear? :)
Click to expand...

Ofcourse there is one obvious solution ....

However, there are infinite more solutions (the starting point - not the color of the bear)...
 
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