Question

Value of $\frac{1}{\log_aabc}+\frac{1}{\log_babc}+\frac{1}{\log_cabc}$

score 191 · Answer 1 · 2026-04-17 04:54:59

Value of $\frac{1}{\log_aabc}+\frac{1}{\log_babc}+\frac{1}{\log_cabc}$

Published on 17 Apr 2026 - 4:54

score 81 · Answer 2 · 2026-04-16 15:55:08

All real number solutions of equation $\log_{2011}(2010x) = \log_{2010}(2011x)$ are in certain interval. Which one is it?

score 94 · Answer 3 · 2026-04-17 06:15:53

94

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Prove that for any positive integer $n$ and $d$, $\sum_{k=0}^d 2^k\log_2(\frac{n}{2^k})=2^{d+1}\log_2(\frac{n}{2^{d-1}})-2-\log_2{n}$

Published on 17 Apr 2026 - 6:15

score 576 · Answer 4 · 2026-04-11 19:16:12

576

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What is the sum of $n$ terms in the series

Published on 11 Apr 2026 - 19:16

score 84 · Answer 5 · 2026-04-16 03:30:27

84

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If $\log_23 = a$ and $\log_52=b$ then $\log_{24}50$ is equal to?

Published on 16 Apr 2026 - 3:30

score 559 · Answer 6 · 2026-04-12 00:36:43

559

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Problem with this challenging summation

Published on 12 Apr 2026 - 0:36

score 1.2k · Answer 7 · 2026-04-17 00:43:35

1.2k

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Find the value of $x$ such that $(3-\log_3x)\log _{3x}3=1$.

Published on 17 Apr 2026 - 0:43

score 4.1k · Answer 8 · 2026-04-14 08:26:37

4.1k

Views

Why is the derivative of $\log ax$, where a is any positive integer, the same?

Published on 14 Apr 2026 - 8:26

score 35 · Answer 9 · 2026-04-17 03:20:52

If $x^y = y^x$ $(x,y \in R, x,y>0,x\neq 0 )$ and $x^p = y^q$ $(p,q \in R/\{0\}, p \neq q)$, then product $xy$ is equal to?

score 105 · Answer 10 · 2026-04-15 23:37:53

105

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Finding the limit of $\lim_{n\to\infty} \frac{n^{log(n)}}{(\log n)^n}$

Published on 15 Apr 2026 - 23:37

score 130 · Answer 11 · 2026-04-16 17:09:35

130

Views

Product of all real solutions of equation $\frac {2013x}{2014}=2013^{\log_x2014}$?

Published on 16 Apr 2026 - 17:09

score 77 · Answer 12 · 2026-04-15 09:04:16

77

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How to prove that: $\log_{{1\over 2}}(3) + \log_3\left({1 \over 2}\right) < -2$

Published on 15 Apr 2026 - 9:04

score 67 · Answer 13 · 2026-04-13 03:36:13

67

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Where is my mistake in a logarithm?

Published on 13 Apr 2026 - 3:36

score 3.5k · Answer 14 · 2026-04-14 13:16:19

3.5k

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How to find sum of the infinite series $\sum_{n=1}^{\infty} \frac{1}{ n(2n+1)}$

Published on 14 Apr 2026 - 13:16

score 98 · Answer 15 · 2026-04-17 00:34:05

98

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Evaluate the limit: $ \lim_{x\to -1}\frac{x\ln(x+3) + \ln(2)} {x+1} $

Published on 17 Apr 2026 - 0:34

List Question

Value of $\frac{1}{\log_aabc}+\frac{1}{\log_babc}+\frac{1}{\log_cabc}$

All real number solutions of equation $\log_{2011}(2010x) = \log_{2010}(2011x)$ are in certain interval. Which one is it?

Prove that for any positive integer $n$ and $d$, $\sum_{k=0}^d 2^k\log_2(\frac{n}{2^k})=2^{d+1}\log_2(\frac{n}{2^{d-1}})-2-\log_2{n}$

What is the sum of $n$ terms in the series

If $\log_23 = a$ and $\log_52=b$ then $\log_{24}50$ is equal to?

Problem with this challenging summation

Find the value of $x$ such that $(3-\log_3x)\log _{3x}3=1$.

Why is the derivative of $\log ax$, where a is any positive integer, the same?

If $x^y = y^x$ $(x,y \in R, x,y>0,x\neq 0 )$ and $x^p = y^q$ $(p,q \in R/\{0\}, p \neq q)$, then product $xy$ is equal to?

Finding the limit of $\lim_{n\to\infty} \frac{n^{log(n)}}{(\log n)^n}$

Product of all real solutions of equation $\frac {2013x}{2014}=2013^{\log_x2014}$?

How to prove that: $\log_{{1\over 2}}(3) + \log_3\left({1 \over 2}\right) < -2$

Where is my mistake in a logarithm?

How to find sum of the infinite series $\sum_{n=1}^{\infty} \frac{1}{ n(2n+1)}$

Evaluate the limit: $ \lim_{x\to -1}\frac{x\ln(x+3) + \ln(2)} {x+1} $

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