Question

Why is it that $\ln\Big(1+\frac{x}{y}\Big)=\ln(1+\exp(\ln x - \ln y))$?

score 78 · Answer 1 · 2018-11-29 19:27:18

78

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Why is it that $\ln\Big(1+\frac{x}{y}\Big)=\ln(1+\exp(\ln x - \ln y))$?

Published on 29 Nov 2018 - 19:27

score 37 · Answer 2 · 2018-11-29 19:28:31

37

Views

Simplifying $3x^2(x+8)^3+3x^3(x+8)^2$

Published on 29 Nov 2018 - 19:28

score 174 · Answer 3 · 2026-03-25 07:55:23

174

Views

Using Maple 2018 to find coefficients in a power series

Published on 25 Mar 2026 - 7:55

score 64 · Answer 4 · 2026-03-25 12:53:58

64

Views

Approximate a solution for $\frac{e^{-a}(v+u)(a^x+e^{a}x\Gamma(x,a))}{\Gamma(x+1)}-u\approx 0$

Published on 25 Mar 2026 - 12:53

score 29 · Answer 5 · 2026-03-26 07:57:19

29

Views

Whether a Pathological Set Might Exist that could Foil a Theorem about the Exponential Function

Published on 26 Mar 2026 - 7:57

score 92 · Answer 6 · 2026-03-26 12:07:00

92

Views

Is there a function that satisfies $f(\log \frac{p}{1-p}) = p(1-p)$?

Published on 26 Mar 2026 - 12:07

score 490 · Answer 7 · 2018-12-01 18:02:32

490

Views

Combinatorial Proof that the Logarithm of a Product is the Sum of the Logarithms

Published on 01 Dec 2018 - 18:02

score 1.6k · Answer 8 · 2026-03-25 23:16:00

1.6k

Views

Why is it called "$e$"?

Published on 25 Mar 2026 - 23:16

score 97 · Answer 9 · 2026-03-24 23:46:31

97

Views

How to solve equations where the power of $x$ is a function of $x$?

Published on 24 Mar 2026 - 23:46

score 261 · Answer 10 · 2026-03-25 18:47:18

261

Views

Why does calculating $\exp z$ using $\ln z$ via newton-raphson method fail to converge?

Published on 25 Mar 2026 - 18:47

score 261 · Answer 11 · 2026-03-25 01:29:08

261

Views

"Natural" proof of $P\left(\frac{d}{dx}\right)\bigl(e^{xy}Q(x)\bigr)=Q\left(\frac{d}{dy}\right)\bigl(e^{xy}P(y)\bigr)$.

Published on 25 Mar 2026 - 1:29

score 237 · Answer 12 · 2026-03-25 01:20:30

237

Views

Asymptotic behavior of roots of an equation involving exponential and logarithm

Published on 25 Mar 2026 - 1:20

score 397 · Answer 13 · 2026-03-26 03:12:42

397

Views

an inverse of the Artin-Hasse exponential?

Published on 26 Mar 2026 - 3:12

score 39 · Answer 14 · 2018-12-04 11:51:28

39

Views

How can I solve this equation by analytical method? $2^x=x+1$

Published on 04 Dec 2018 - 11:51

score 88 · Answer 15 · 2018-12-04 15:03:37

88

Views

How to compute Euler constant $(e^x)$ to its any power.

Published on 04 Dec 2018 - 15:03

List Question

Why is it that $\ln\Big(1+\frac{x}{y}\Big)=\ln(1+\exp(\ln x - \ln y))$?

Simplifying $3x^2(x+8)^3+3x^3(x+8)^2$

Using Maple 2018 to find coefficients in a power series

Approximate a solution for $\frac{e^{-a}(v+u)(a^x+e^{a}x\Gamma(x,a))}{\Gamma(x+1)}-u\approx 0$

Whether a Pathological Set Might Exist that could Foil a Theorem about the Exponential Function

Is there a function that satisfies $f(\log \frac{p}{1-p}) = p(1-p)$?

Combinatorial Proof that the Logarithm of a Product is the Sum of the Logarithms

Why is it called "$e$"?

How to solve equations where the power of $x$ is a function of $x$?

Why does calculating $\exp z$ using $\ln z$ via newton-raphson method fail to converge?

"Natural" proof of $P\left(\frac{d}{dx}\right)\bigl(e^{xy}Q(x)\bigr)=Q\left(\frac{d}{dy}\right)\bigl(e^{xy}P(y)\bigr)$.

Asymptotic behavior of roots of an equation involving exponential and logarithm

an inverse of the Artin-Hasse exponential?

How can I solve this equation by analytical method? $2^x=x+1$

How to compute Euler constant $(e^x)$ to its any power.

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