# Tagged Questions

Questions related to real and complex logarithms.

1answer
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### $\int_0^5 \frac{dx}{x^2-x-2}$

I am having some difficulty with this problem. I am getting a finite answer but when I put the equation into wolfram alpha to check my answer it says that the integral does not converge.Here is what I ...
3answers
69 views

### Approximating the value of a definite integral

I came across this question in ISI(Indian Statistical Institute) admission test $$I=\int_2^3 \frac{dx}{\ln(x)}$$ The four options were (A) is less than $2$ (B) is equal to $2$ (C) lies in the ...
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### Sequence solutions of $ax=e^x$

This question comes from my answer to: Solving $4x = e^x$ without graphing and looking for intersection Here I've used a sequence of nested exponentials constructed from $$x=\frac{1}{a}e^x$$ and a ...
0answers
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1answer
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### Is there a simple way for natural logs be calculated by hand?

Why are natural logs not calculated by hand often? Is it too difficult to get a accurate answer without a calculator?
4answers
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### How to solve the differential equation $\frac {dP}{dt} = \frac {1}{2} (P-200)$ when we are given that $p=200$ when $t=0$?

The title pretty much describes the question. Posting this on behalf of a friend. He says he knows how to apply the integrating factors method, but can't figure out how to solve this. Here's my ...
3answers
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### Determine whether a number is a power of 3

Why does $\frac{\log(n)}{\log(3)}$ being an integer determine whether $n$ is a power of three? While doing some programming exercises I came across this problem and the above formula was a proposed ...
1answer
76 views