Question

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

score 612 · Answer 1 · 2026-04-12 21:34:13

612

Views

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

Published on 12 Apr 2026 - 21:34

score 178 · Answer 2 · 2026-04-13 11:56:39

178

Views

What does power of logarithm (log) mean?

Published on 13 Apr 2026 - 11:56

score 54 · Answer 3 · 2026-05-10 12:34:24

54

Views

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

Published on 10 May 2026 - 12:34

score 71 · Answer 4 · 2026-04-13 09:28:12

71

Views

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

Published on 13 Apr 2026 - 9:28

score 47 · Answer 5 · 2026-04-14 15:47:04

47

Views

Help with a logarithm proof

Published on 14 Apr 2026 - 15:47

score 100 · Answer 6 · 2026-05-14 17:54:45

100

Views

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

Published on 14 May 2026 - 17:54

score 93 · Answer 7 · 2026-04-08 23:41:23

93

Views

Natural logarithm over natural logarithm

Published on 08 Apr 2026 - 23:41

score 38 · Answer 8 · 2026-05-10 17:37:02

38

Views

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

Published on 10 May 2026 - 17:37

score 133 · Answer 9 · 2026-04-15 08:56:18

133

Views

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

Published on 15 Apr 2026 - 8:56

score 27 · Answer 10 · 2026-04-13 20:39:21

27

Views

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

Published on 13 Apr 2026 - 20:39

score 114 · Answer 11 · 2026-05-14 12:46:34

114

Views

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

Published on 14 May 2026 - 12:46

score 461 · Answer 12 · 2026-04-15 17:13:29

461

Views

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

Published on 15 Apr 2026 - 17:13

score 92 · Answer 13 · 2026-05-13 19:58:17

92

Views

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

Published on 13 May 2026 - 19:58

score 444 · Answer 14 · 2026-05-11 04:19:16

444

Views

Calculate fractional exponent without use of calculator

Published on 11 May 2026 - 4:19

score 67 · Answer 15 · 2026-04-16 14:13:57

67

Views

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

Published on 16 Apr 2026 - 14:13

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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