What is log^2 n

In mathematics, the binary logarithm (log₂ n) is the power to which the number 2 must be raised to obtain the value n.

1. How do you find log 2 n?
2. Is log2 n same as log n?
3. Is log2N faster than n?
4. Is log n 2 a 2logn?

How do you find log 2 n?

What Is Log Base 2 In Algebra? The log base 2 to a number N in algebra is equal to the exponent value of 2 which gives the number N. The log base 2 is written in the logarithmic form as log2N=k l o g 2 N = k , and the same is written in exponential form as 2^k = N.

Is log2 n same as log n?

Yes, in programming in general, log refers to log2 as it is the most common logarithmic complexity.

Is log2N faster than n?

Yes, log^2 n GROWS faster, but that means the algorithm is slower.

Is log n 2 a 2logn?

log(N^2) = 2log(N) and O(2log(N)) = O(log(N)). Nlog(N) is completely different. For example log10(100) = 2, but 100*log10(100) is 200.