List questions from logarithms

Published on 09 Apr 2026 - 21:49

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Help isolating "t" in this equation: $1.1 ^ t + 1.2 ^ t + 1.5 ^ t = 1,000,000,000$

Published on 16 Apr 2026 - 22:11

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Prove that ln(n) is not a Cauchy Sequence?

Published on 14 Apr 2026 - 19:40

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Compactification of log z Riemann Surface

Published on 25 Mar 2026 - 16:00

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Finding a closed form of an integral: $\int_0^k\ln(a\sin^2(x)+(a+b)\cos^2(x))dx$

Published on 16 Apr 2026 - 14:37

33

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Why must the base and argument of a logarithm be positive?

Published on 14 Apr 2026 - 19:17

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Calculus proof of ln(ab)= lna + lnb

Published on 16 Apr 2026 - 18:04

164

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Calculate $\sum_{ k = 1 } ^ n \ln ( 1 - x ^ k )$

Published on 23 Apr 2026 - 21:49

297

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Use Jensen's inequality to show $\frac{2x}{2+x} < \log(1+x) < \frac{2x+x^2}{2+2x}$ for $x>0$

Published on 26 Mar 2026 - 1:23

124

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How to evaluate $\int x \ln^n (x) dx$?

Published on 13 Apr 2026 - 5:45

28

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Find if the rational log of a rational number is rational?

Published on 15 Apr 2026 - 9:10

89

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1st order linear differential equation $y'+\frac{xy}{1+x^2} =x$

Published on 16 Apr 2026 - 16:56

121

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Uniform convergence of $\sum _{n=1}^{\infty} \frac{\left(-1\right)^{n-1}}{n}x^n $

Published on 16 Apr 2026 - 6:15

69

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Why is $r \log\left(\frac{n+k}{k}\right)-\log\left(\frac{rn+k}{k}\right)$ equivalent to $r\log(n) - \log (rn)$ as $k\to 0$?

Published on 16 Apr 2026 - 10:14

232

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Two convex functions equal on the natural numbers are equal

Published on 11 Apr 2026 - 5:47

List Question

Rules for natural logging both sides of an equation?

Help isolating "t" in this equation: $1.1 ^ t + 1.2 ^ t + 1.5 ^ t = 1,000,000,000$

Prove that ln(n) is not a Cauchy Sequence?

Compactification of log z Riemann Surface

Finding a closed form of an integral: $\int_0^k\ln(a\sin^2(x)+(a+b)\cos^2(x))dx$

Why must the base and argument of a logarithm be positive?

Calculus proof of ln(ab)= lna + lnb

Calculate $\sum_{ k = 1 } ^ n \ln ( 1 - x ^ k )$

Use Jensen's inequality to show $\frac{2x}{2+x} < \log(1+x) < \frac{2x+x^2}{2+2x}$ for $x>0$

How to evaluate $\int x \ln^n (x) dx$?

Find if the rational log of a rational number is rational?

1st order linear differential equation $y'+\frac{xy}{1+x^2} =x$

Uniform convergence of $\sum _{n=1}^{\infty} \frac{\left(-1\right)^{n-1}}{n}x^n $

Why is $r \log\left(\frac{n+k}{k}\right)-\log\left(\frac{rn+k}{k}\right)$ equivalent to $r\log(n) - \log (rn)$ as $k\to 0$?

Two convex functions equal on the natural numbers are equal

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