List questions from logarithms

Published on 27 Oct 2018 - 21:41

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How to solve this logarithmic system of equations

Published on 28 Oct 2018 - 7:31

141

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Is $\log(100 \cdot 10^x)$ the same as $\log_{10}(100 \cdot 10^x)$?

Published on 28 Oct 2018 - 19:34

119

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Nature of constant $c$ from $\lim\limits_{n\to\infty}\left(\sum\limits_{k=1}^{n}(1/k)^{1/k}-n+\frac{\log^2(n)}{2}-1\right)=c$

Published on 25 Mar 2026 - 5:41

1.8k

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What is $\ln(e^{ix})$?

Published on 28 Mar 2026 - 12:55

30

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Find a simplified expression without logarithms

Published on 30 Oct 2018 - 5:24

61

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Is $\log n^n=O(n\log n)$?

Published on 28 Mar 2026 - 10:34

52

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Is $2^{log(n^2)}$ = $\Omega (\sqrt{n^3}) $?

Published on 30 Oct 2018 - 9:13

18

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$N = a^{b}$ is $L$ bits long, for some integers $a \geq 1, b \geq 2$. Show that $b \leq L$.

Published on 23 Mar 2026 - 5:57

644

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how to evaluate a exponent raised to a log of same base?

Published on 26 Mar 2026 - 4:51

507

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Evaluating $\int_1^2\frac{\arctan(x+1)}{x}\,dx$

Published on 01 Nov 2018 - 2:12

186

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Are logarithms and exponents the same?

Published on 01 Nov 2018 - 15:02

127

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Solve for $x$ given $2.544 = e^{-x} + e^{-2x} + e^{-3x}$

Published on 26 Mar 2026 - 4:50

28

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How to express this simple equation in terms of a different variable?

Published on 25 Mar 2026 - 20:09

91

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Help understanding Mathematica's solution for $x^x=4$

Published on 24 Mar 2026 - 23:50

List Question

How to solve $k^x = x!$ exactly

How to solve this logarithmic system of equations

Is $\log(100 \cdot 10^x)$ the same as $\log_{10}(100 \cdot 10^x)$?

Nature of constant $c$ from $\lim\limits_{n\to\infty}\left(\sum\limits_{k=1}^{n}(1/k)^{1/k}-n+\frac{\log^2(n)}{2}-1\right)=c$

What is $\ln(e^{ix})$?

Find a simplified expression without logarithms

Is $\log n^n=O(n\log n)$?

Is $2^{log(n^2)}$ = $\Omega (\sqrt{n^3}) $?

$N = a^{b}$ is $L$ bits long, for some integers $a \geq 1, b \geq 2$. Show that $b \leq L$.

how to evaluate a exponent raised to a log of same base?

Evaluating $\int_1^2\frac{\arctan(x+1)}{x}\,dx$

Are logarithms and exponents the same?

Solve for $x$ given $2.544 = e^{-x} + e^{-2x} + e^{-3x}$

How to express this simple equation in terms of a different variable?

Help understanding Mathematica's solution for $x^x=4$

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