List questions from logarithms

Published on 15 Apr 2026 - 12:58

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How can I prove that n . log n is a time constructible function?

Published on 17 Apr 2026 - 8:31

480

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How does the logarithm returns the number of digits of a number?

Published on 11 Apr 2026 - 17:14

6.3k

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Is $\log(z^2)=2\log(z)$ if $\text{Log}(z_1 z_2)\ne \text{Log}(z_1)+\text{Log}(z_2)$?

Published on 28 Mar 2026 - 14:43

270

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Prove inequality $x\cdot\ln(x) + y\cdot\ln(y) \geq (x+y)\cdot \ln(x+y)$

Published on 17 Apr 2026 - 1:18

515

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Prove that $\lim_{u\to \infty}{\frac{u^m}{e^u}}=0$

Published on 14 Apr 2026 - 23:32

430

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Why is $-\ \frac{1}{2}\ln(\frac{1}{9})$ equal to $\frac{\ln(9)}{2}$?

Published on 17 Apr 2026 - 13:21

59

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Complex analysis range

Published on 13 Apr 2026 - 9:57

385

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What went wrong in these solutions of $\log \big(x^{\log x}\big)=4$

Published on 16 Apr 2026 - 11:15

205

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Solve for $x$ the equation $ x^{\log_{10} x}=\frac{x^3}{100}$

Published on 15 Apr 2026 - 23:10

523

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If $2\log_3(x-2y)=\log_3x+\log_3y$, find $\frac xy$

Published on 17 Apr 2026 - 11:28

74

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Why this equation cannot be equal to 1?

Published on 17 Apr 2026 - 12:31

32

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Can a double series of $\ln(r)^m r^k$ converge to $r^\alpha$?

Published on 15 Apr 2026 - 22:38

267

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Closed form for Logarithmic equation

Published on 11 Apr 2026 - 4:46

5.8k

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Branch point of log(z)

Published on 16 Apr 2026 - 19:45

List Question

How do I solve this Equation: $x+a^x=b$

How can I prove that n . log n is a time constructible function?

How does the logarithm returns the number of digits of a number?

Is $\log(z^2)=2\log(z)$ if $\text{Log}(z_1 z_2)\ne \text{Log}(z_1)+\text{Log}(z_2)$?

Prove inequality $x\cdot\ln(x) + y\cdot\ln(y) \geq (x+y)\cdot \ln(x+y)$

Prove that $\lim_{u\to \infty}{\frac{u^m}{e^u}}=0$

Why is $-\ \frac{1}{2}\ln(\frac{1}{9})$ equal to $\frac{\ln(9)}{2}$?

Complex analysis range

What went wrong in these solutions of $\log \big(x^{\log x}\big)=4$

Solve for $x$ the equation $ x^{\log_{10} x}=\frac{x^3}{100}$

If $2\log_3(x-2y)=\log_3x+\log_3y$, find $\frac xy$

Why this equation cannot be equal to 1?

Can a double series of $\ln(r)^m r^k$ converge to $r^\alpha$?

Closed form for Logarithmic equation

Branch point of log(z)

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