List questions from logarithms

Published on 09 Apr 2026 - 22:35

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Factorisation of numbers

Published on 10 May 2026 - 13:46

108

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Closed form for:$I(j) = \int_0^1 \dfrac{\cos{(\pi j x/2)}}{\sin{(\frac{\pi}{4}(1-x))}} \log{\Big( \frac{\sin{\pi /4}}{\sin{\pi x/4}} \Big)}dx$?

Published on 13 May 2026 - 21:26

172

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$a, b, c, d \in \mathbb{R}^+$, $\log_a(b) = 8/9, \log_b(c) = -3/4$ and $\log_c(d) = 2$, find the value of $\log_d(abc)$

Published on 17 Apr 2026 - 19:00

149

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Finding the value of $(\log_x y)^2 + (\log_y x)^2$

Published on 16 Apr 2026 - 10:57

386

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Simultaneous equations with logs

Published on 16 Apr 2026 - 4:20

43

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$(2/3)^{c\log n} < n^{-2}$ when $n>1$ for some $c$. Seems like magic to me that they spotted this (logarithmic manipulation most likely required)

Published on 17 Apr 2026 - 2:27

167

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Inequality involving logarithm

Published on 10 May 2026 - 15:53

2.7k

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Properties of logs. Why does the log of a power, does the exponent become a coefficient?

Published on 13 Apr 2026 - 19:06

441

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Solving $n/\ln (n) = 990,000$

Published on 10 May 2026 - 12:02

61

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Help With Logarithmic Equation

Published on 10 Apr 2026 - 1:52

175

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$3- \log_3(p) = \log_p(9)$, $p = ?$

Published on 17 Apr 2026 - 3:27

291

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How do you write log to the base e?

Published on 12 Apr 2026 - 21:51

190

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Solving logarithmic equation with different bases

Published on 10 Apr 2026 - 10:19

175

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Logarithm defined using the definite integral without Fundamental Theorem

Published on 12 Apr 2026 - 5:04

List Question

How to undo $\log$

Factorisation of numbers

Closed form for:$I(j) = \int_0^1 \dfrac{\cos{(\pi j x/2)}}{\sin{(\frac{\pi}{4}(1-x))}} \log{\Big( \frac{\sin{\pi /4}}{\sin{\pi x/4}} \Big)}dx$?

$a, b, c, d \in \mathbb{R}^+$, $\log_a(b) = 8/9, \log_b(c) = -3/4$ and $\log_c(d) = 2$, find the value of $\log_d(abc)$

Finding the value of $(\log_x y)^2 + (\log_y x)^2$

Simultaneous equations with logs

$(2/3)^{c\log n} < n^{-2}$ when $n>1$ for some $c$. Seems like magic to me that they spotted this (logarithmic manipulation most likely required)

Inequality involving logarithm

Properties of logs. Why does the log of a power, does the exponent become a coefficient?

Solving $n/\ln (n) = 990,000$

Help With Logarithmic Equation

$3- \log_3(p) = \log_p(9)$, $p = ?$

How do you write log to the base e?

Solving logarithmic equation with different bases

Logarithm defined using the definite integral without Fundamental Theorem

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