# Tagged Questions

Questions related to real and complex logarithms.

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### Estimate the complexity for number times the function n/ lgn will be called recursively such that the result is a constant c = 2?

Cormen exercise $3.6$ which defines recursive function $f(i)$ such that $i$, $i \ge 0$ and the function is recursively called on itself $f(….f(i))$ such that it reaches a constant $c= 2$. Please help....
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### Why is it true that $S'(t)/S(t) = d log(S(t)) / dt$?

I came across this identity in derivation of the hazard rate in survival analysis.
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### If $x(z)$ and $y(z)$ are analytic with $x(0) = 0 = y(0)$ then $x(z)^{y(z)} \to 0$ as $z \to 0$

I'm a programmer and my math is a little rusty, but usually sufficient for my needs. However, I came across the following statement in the exp(3) manual page of ...
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### How to solve $\log_2(x) +3 = \log_3(x+2)$ [closed]

Hi Math Stack Exchange Communities, I am new here. I have a question regarding logarithm solving. Let's say I have this equation: $$\log_2 (x) +3 = \log_3 (x+2)$$ How can I solve this kind of ...
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### What would $\log_{24} 48$ be in terms of $x$ if $\log_{12} 36= x$? [closed]
What would $\log_{24} 48$ be in terms of $x$ if $\log_{12} 36= x$? Which properties to use and how to proceed, please let me know.