Math is not (directly) about the physical world; it is an abstraction. Numbers are not defined according to whether they can be measured physically,...
A numerical solution to a problem is one that has the form of a number that can be written out in decimal (or equivalent) form, like 1.414... or 1/2....
Please ask specific questions. At the very least, we need to see what you mean by "logical math", and what sort of help you need with it; and we can...
Do the exact same thing with the radical expression! Multiply numerator and denominator by the conjugate of the numerator, 4 - \sqrt{16 - x^2} . The...
Logs with negative bases are too messed up to be used at all. Consider that a negative base raised to an even power will be positive; to an odd power...
Perhaps you can tell us how you solved the other problems, and what was different about this one. Some part of your work should make enough sense for...
Jomo, I am not talking to you. I am not arguing about semantics or what a number is. You don't need to talk down to me as if I don't understand these...
A key idea here would be the change of base formula, which implies that log2(10) = log10(10)/log10(2) = 1/log10(2). That explains the first equality....
Here is one place to go for this kind of help. The third page in will be most directly relevant, but you should read through the whole presentation....
Interesting. They assign problems that can't be solved efficiently without a calculator, then don't allow calculators? And they also don't teach you...
I was a software engineer for many years, and have been teaching at a community college since 2004. Since 1998, I was a part of Ask Doctor Math (http://mathforum.org/dr.math/ and now http://themathdoctors.org/).