David Mackay

Hi Mr. Knight. I see your question is 20 days old so maybe this answer is too late. I have just started helping in the Study Group after many years on KA. What you have above is two "simultaneous e...

1. Hamjamiyat
2. Study Group
3. Electrical Eng Notes on Node Current Method. The Solutions for the example Jump over some steps that make it hard to follow

Thinking a bit more about it! Also worth observing that exp(x) and ln(x) are the inverse functions of each other. So we can say: exp(ln(x)) = ln(exp(x)) = x

1. Hamjamiyat
2. Study Group
3. meaning of "exp"

Also, in the equations above "ln" refers to the "natural logarithm" which is the logarithm to the base "e". 

1. Hamjamiyat
2. Study Group
3. meaning of "exp"

Hi Allen. In this case I think exp(X) means "e" to the power X. Where "e" means Euler's number fully described here https://en.wikipedia.org/wiki/E_(mathematical_constant). Hope this helps!

1. Hamjamiyat
2. Study Group
3. meaning of "exp"

Probably means "exponent". But hard to say without seeing the original material. Could you post a photo of the page?

1. Hamjamiyat
2. Study Group
3. meaning of "exp"

The skill here is to carefully read the question. Then try to write down any mathematical "facts" that are stated in the question. Problems like this where you have to determine two (or more) quant...

1. Hamjamiyat
2. Study Group
3. Can someone help me?

Hi Reyna. Sorry but you are not correct. Here is my solution: Let's use L for the number of Jill's marbles. Let's use K for the number of Jack's marbles. From the statement of the problem we can wr...

1. Hamjamiyat
2. Study Group
3. Can someone help me?