Question

Maxima of product of two log functions

score 103 · Answer 1 · 2018-10-03 18:33:51

103

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Maxima of product of two log functions

Published on 03 Oct 2018 - 18:33

score 148 · Answer 2 · 2026-03-26 11:01:25

148

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What is the expansion of $\log(N+x) = \log(N) + [\dots\text{blank}\dots] $? ($N \in \mathbb{R}+$ and $0 \leq x \leq 1)$.

Published on 26 Mar 2026 - 11:01

score 1.1k · Answer 3 · 2026-03-25 16:05:51

1.1k

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Simplify $(3\log x) - (2\log x)$

Published on 25 Mar 2026 - 16:05

score 234 · Answer 4 · 2018-10-04 20:25:41

234

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Solving $\log_{6}(2x+3)=3$. Can I start by dividing by $\log_6$?

Published on 04 Oct 2018 - 20:25

score 383 · Answer 5 · 2018-10-04 20:34:29

383

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Show that $\int_0^1 \frac{\ln(1+x)}x\mathrm dx=-\frac12\int_0^1 \frac{\ln x}{1-x}\mathrm dx$ without actually evaluating both integrals

Published on 04 Oct 2018 - 20:34

score 957 · Answer 6 · 2018-10-04 22:50:00

957

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Rules for equation involving addition and subtraction of logarithms

Published on 04 Oct 2018 - 22:50

score 282 · Answer 7 · 2018-10-05 08:08:33

282

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History of logarithmic function

Published on 05 Oct 2018 - 8:08

score 75 · Answer 8 · 2026-03-28 06:10:18

75

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The formula $P = 1,527,000 (1.015)^t$ gives the population $t$ years after 2008. Find the population in 2009 and 2010?

Published on 28 Mar 2026 - 6:10

score 53 · Answer 9 · 2018-10-05 09:54:22

53

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proof for $n(1-\frac{k+1}{n})^{n\ln(k+1)/(k+1)}<ne^{-\ln(k+1)}$

Published on 05 Oct 2018 - 9:54

score 76 · Answer 10 · 2018-10-05 19:52:28

Rearrange the following equation into the form of $y=mx+c$ so the gradient can be used to determine the value of RC: $V=V_0(1-e^{-\frac{t}{RC}})$

score 191 · Answer 11 · 2026-03-25 11:20:26

191

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Which is greater, $\left(\frac{e}{2}\right)^\sqrt{3}$ or $(\sqrt{2})^{\pi/2}$? (no calculators)

Published on 25 Mar 2026 - 11:20

score 337 · Answer 12 · 2018-10-07 00:05:31

337

Views

Simplifying/Finding the natural log of two terms without logarithm laws.

Published on 07 Oct 2018 - 0:05

score 74 · Answer 13 · 2026-03-27 15:18:14

74

Views

maximising function subject to the constraint without using lagrange multiplier and other calculus techqniques

Published on 27 Mar 2026 - 15:18

score 39 · Answer 14 · 2018-10-07 15:20:37

39

Views

Stuck solving a logarithmic calculation

Published on 07 Oct 2018 - 15:20

score 1.4k · Answer 15 · 2026-03-28 02:09:20

1.4k

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How to compare logs

Published on 28 Mar 2026 - 2:09

List Question

Maxima of product of two log functions

What is the expansion of $\log(N+x) = \log(N) + [\dots\text{blank}\dots] $? ($N \in \mathbb{R}+$ and $0 \leq x \leq 1)$.

Simplify $(3\log x) - (2\log x)$

Solving $\log_{6}(2x+3)=3$. Can I start by dividing by $\log_6$?

Show that $\int_0^1 \frac{\ln(1+x)}x\mathrm dx=-\frac12\int_0^1 \frac{\ln x}{1-x}\mathrm dx$ without actually evaluating both integrals

Rules for equation involving addition and subtraction of logarithms

History of logarithmic function

The formula $P = 1,527,000 (1.015)^t$ gives the population $t$ years after 2008. Find the population in 2009 and 2010?

proof for $n(1-\frac{k+1}{n})^{n\ln(k+1)/(k+1)}<ne^{-\ln(k+1)}$

Rearrange the following equation into the form of $y=mx+c$ so the gradient can be used to determine the value of RC: $V=V_0(1-e^{-\frac{t}{RC}})$

Which is greater, $\left(\frac{e}{2}\right)^\sqrt{3}$ or $(\sqrt{2})^{\pi/2}$? (no calculators)

Simplifying/Finding the natural log of two terms without logarithm laws.

maximising function subject to the constraint without using lagrange multiplier and other calculus techqniques

Stuck solving a logarithmic calculation

How to compare logs

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