0
votes
1answer
86 views

Exponent Upon Exponent? [duplicate]

I can't understand this. Can you please make a clearer explanation?
1
vote
2answers
255 views

Express the following formula in terms of n

Express $$ T(2^k)=\frac{k(k+1)}{2}. $$ In terms of $n$, where $n = 2^k$. I'm not sure how to go about with the conversion. Can someone concisely explain? Thank you.
4
votes
2answers
983 views

Intuition for iterated function for log log log n.

Intuitively, $\log n$ (base 2) is the number of times you have to divide $n$ by 2 before reaching a number around 2. (Waving our hands a little to gloss over floor vs ceiling and $\pm$ 1 errors.) ...
66
votes
16answers
10k views

How do you explain the concept of logarithm to a five year old?

Okay I understand that it cannot be explained to a 5 year old. But, how do you explain the logarithm to primary school students?
2
votes
3answers
253 views

Plotting $\frac{1}{\ln x}$

I need assistance in plotting the graph of $\frac{1}{\ln x}$. wolframalpha gives this. How to plot this function (both real and imaginary part) using calculus?
2
votes
2answers
748 views

Difference between Logarithms of different bases

Every time i see a logarithmic function and if it so happens that i'am required to take the derivative or the integral of that particular function i get stumped and i tend to avoid that problem. What ...
2
votes
2answers
391 views

Why does an equiangular spiral become logarithmic (intuitively)?

One of the most famous 2D-curves are logarithmic spirals (or Spira mirabilis). They can be constructed by using a machinery that ensures a constant angle between the tangent and the radial lines all ...