Question

Is $x$ not actually equal to $e^{\ln(x)}$?

score 610 · Answer 1 · 2026-03-25 17:36:23

610

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Is $x$ not actually equal to $e^{\ln(x)}$?

Published on 25 Mar 2026 - 17:36

score 175 · Answer 2 · 2018-03-21 07:35:34

175

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What does power of logarithm (log) mean?

Published on 21 Mar 2018 - 7:35

score 44 · Answer 3 · 2026-03-25 02:31:33

44

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Is there a constant $k$ which $k^{4n+1}=k^{4n+2}=1, k^{4n+3}=k^{4n}=-1$?

Published on 25 Mar 2026 - 2:31

score 69 · Answer 4 · 2018-03-21 20:20:29

69

Views

How to write $\log_{15} 81$ in terms of $A$, if $A$ is equal to $\log_{15} 5$?

Published on 21 Mar 2018 - 20:20

score 44 · Answer 5 · 2018-03-21 20:52:23

44

Views

Help with a logarithm proof

Published on 21 Mar 2018 - 20:52

score 96 · Answer 6 · 2018-03-22 09:43:15

96

Views

Limit of $\lim_{x\to 0^+}(1+\frac{1}{x})^x$

Published on 22 Mar 2018 - 9:43

score 90 · Answer 7 · 2018-03-23 02:59:39

90

Views

Natural logarithm over natural logarithm

Published on 23 Mar 2018 - 2:59

score 35 · Answer 8 · 2026-03-25 15:59:55

35

Views

Is it possible to solve a simple equation involving linear and exponential components?

Published on 25 Mar 2026 - 15:59

score 130 · Answer 9 · 2018-03-23 12:02:22

130

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$\log(z)$ for $|z| < 1$

Published on 23 Mar 2018 - 12:02

score 24 · Answer 10 · 2018-03-23 13:54:25

24

Views

different conditions and values from the same logarithm when power is moved. correction needed

Published on 23 Mar 2018 - 13:54

score 111 · Answer 11 · 2026-03-29 21:06:05

111

Views

Equation for inverted mirrored $\ln(x)$ for $x<1$?

Published on 29 Mar 2026 - 21:06

score 458 · Answer 12 · 2018-03-23 20:23:04

458

Views

Prove that $\int_0^1 (x \log x)^{n-1}dx = (n-1)!/n^n$ by induction.

Published on 23 Mar 2018 - 20:23

score 83 · Answer 13 · 2026-03-22 14:08:24

83

Views

Show that if n is a power of 3, then $\sum_{i=0}^{\log_3n} 3^i = \frac{3n-1}{2}$

Published on 22 Mar 2026 - 14:08

score 441 · Answer 14 · 2026-03-25 06:28:37

441

Views

Calculate fractional exponent without use of calculator

Published on 25 Mar 2026 - 6:28

score 64 · Answer 15 · 2018-03-26 14:20:32

64

Views

Solve $3^{x+1} = 2^x$

Published on 26 Mar 2018 - 14:20

List Question

Is $x$ not actually equal to $e^{\ln(x)}$?

What does power of logarithm (log) mean?

Is there a constant $k$ which $k^{4n+1}=k^{4n+2}=1, k^{4n+3}=k^{4n}=-1$?

How to write $\log_{15} 81$ in terms of $A$, if $A$ is equal to $\log_{15} 5$?

Help with a logarithm proof

Limit of $\lim_{x\to 0^+}(1+\frac{1}{x})^x$

Natural logarithm over natural logarithm

Is it possible to solve a simple equation involving linear and exponential components?

$\log(z)$ for $|z| < 1$

different conditions and values from the same logarithm when power is moved. correction needed

Equation for inverted mirrored $\ln(x)$ for $x<1$?

Prove that $\int_0^1 (x \log x)^{n-1}dx = (n-1)!/n^n$ by induction.

Show that if n is a power of 3, then $\sum_{i=0}^{\log_3n} 3^i = \frac{3n-1}{2}$

Calculate fractional exponent without use of calculator

Solve $3^{x+1} = 2^x$

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