i'am not able to solve t=log(u).not even a single step sorry
i'am assuming this would end up in some number called 'e' which i came accross somewhere in the past.please help..i'am not sure what that number means and how to get it
i'am assuming this would end up in some number called 'e' which i came accross somewhere in the past.please help..i'am not sure what that number means and how to get it
The simple rules are these:
log(a.b) = log(a) + log(b)
hence
log(a^4) = log(a.a.a.a) = log(a)+log(a)+log(a)+log(a) = 4.log(a)
Therefore
if a = b^z
then log(a) = log(b^z)
so log(a) = z.log(b)
This is true for all bases. Then we have log_b(b) = 1 : Log (base b) of b is 1.
Hence log_b(b^2) = 2
log_b(b^3) = 3
and so on.
In all this the basic rule is this: if x = b^y
then log_b(x) = log_b(b^y)
= y.log_b(b)
= y
So if the base is 10, then we have: If a = 10^b
then log(a) = log(10^b)
= b.log(10)
= b.1
= b
So now, start with the equation t=log(u), assuming the log is base 10, and use the above rules to change it around. When you do that, see if you can get to saying u equals something.Finally, you need to study sections 1, 2 and 3 of this page:
http://en.wikipedia.org/wiki/Logarithm
What's on that page will also help you to understand the questions.