Question

Why are logarithms a function while exponentials are operations

score 159 · Answer 1 · 2020-02-22 18:22:34

159

Views

Why are logarithms a function while exponentials are operations

Published on 22 Feb 2020 - 18:22

score 949 · Answer 2 · 2020-02-23 06:28:33

949

Views

Solve $(4 + \sqrt15)^x + (4 - \sqrt15)^x =62$

Published on 23 Feb 2020 - 6:28

score 139 · Answer 3 · 2020-02-24 18:36:39

139

Views

Inequality $a^{2b}+b^{2a}\leq \cos(ab)^{(a-b)^2}$

Published on 24 Feb 2020 - 18:36

score 316 · Answer 4 · 2026-03-27 14:55:38

316

Views

$e^\pi - \pi^e < 1$?

Published on 27 Mar 2026 - 14:55

score 1k · Answer 5 · 2020-02-26 02:33:00

1k

Views

$\exp(a)\exp(b) = \exp(a+b)$

Published on 26 Feb 2020 - 2:33

score 61 · Answer 6 · 2020-02-26 14:04:37

61

Views

Another inequality with exponential sum and trigonometry

Published on 26 Feb 2020 - 14:04

score 79 · Answer 7 · 2020-02-26 23:34:42

79

Views

If $a > b$ and $x > 2$ show $\frac{2^{a+1}-1}{2^a}\frac{x^{b+1}-1}{x^b(x-1)} > \frac{2^{b+1}-1}{2^b}\frac{x^{a+1}-1}{x^a(x-1)}$

Published on 26 Feb 2020 - 23:34

score 400 · Answer 8 · 2020-03-02 06:06:11

400

Views

Laws of Exponents if base(s) negative

Published on 02 Mar 2020 - 6:06

score 23 · Answer 9 · 2026-03-25 20:36:28

23

Views

Let $0=A \in M_3(\mathbb{C})$ be a Hermitian matrix. Show that $A^k=0$ for all positive integers $k$.

Published on 25 Mar 2026 - 20:36

score 82 · Answer 10 · 2020-03-04 20:40:01

82

Views

May I divide by number n in order to solve $2n = n^2$ ( even in a case where $n$ is not equal to $0$)?

Published on 04 Mar 2020 - 20:40

score 28 · Answer 11 · 2020-03-06 12:27:13

28

Views

Need to work out a formula with exponential growth.

Published on 06 Mar 2020 - 12:27

score 525 · Answer 12 · 2020-03-07 17:11:44

525

Views

How is defined the output of an exponential function when the input is not a rational number?

Published on 07 Mar 2020 - 17:11

score 110 · Answer 13 · 2020-03-08 12:23:42

110

Views

Matrix to the power n equals a matrix, solve it for n

Published on 08 Mar 2020 - 12:23

score 79 · Answer 14 · 2020-03-10 12:42:51

79

Views

How to solve this mathematical equation for x

Published on 10 Mar 2020 - 12:42

score 68 · Answer 15 · 2020-03-10 14:15:05

68

Views

How to prove that $a^{2^n} - 1$ is divisible by $4\cdot2^n$ by induction

Published on 10 Mar 2020 - 14:15

List Question

Why are logarithms a function while exponentials are operations

Solve $(4 + \sqrt15)^x + (4 - \sqrt15)^x =62$

Inequality $a^{2b}+b^{2a}\leq \cos(ab)^{(a-b)^2}$

$e^\pi - \pi^e < 1$?

$\exp(a)\exp(b) = \exp(a+b)$

Another inequality with exponential sum and trigonometry

If $a > b$ and $x > 2$ show $\frac{2^{a+1}-1}{2^a}\frac{x^{b+1}-1}{x^b(x-1)} > \frac{2^{b+1}-1}{2^b}\frac{x^{a+1}-1}{x^a(x-1)}$

Laws of Exponents if base(s) negative

Let $0=A \in M_3(\mathbb{C})$ be a Hermitian matrix. Show that $A^k=0$ for all positive integers $k$.

May I divide by number n in order to solve $2n = n^2$ ( even in a case where $n$ is not equal to $0$)?

Need to work out a formula with exponential growth.

How is defined the output of an exponential function when the input is not a rational number?

Matrix to the power n equals a matrix, solve it for n

How to solve this mathematical equation for x

How to prove that $a^{2^n} - 1$ is divisible by $4\cdot2^n$ by induction

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