Question

Show that $|z^a| = \exp(a \ln |z|) = |z|^a$ when $z\neq{0}$ and $a$ is a real number

score 1.3k · Answer 1 · 2026-04-15 22:09:40

1.3k

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Show that $|z^a| = \exp(a \ln |z|) = |z|^a$ when $z\neq{0}$ and $a$ is a real number

Published on 15 Apr 2026 - 22:09

score 81 · Answer 2 · 2026-04-10 20:28:01

81

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Finding revenue maximizing price with semi-log demand function

Published on 10 Apr 2026 - 20:28

score 401 · Answer 3 · 2026-04-13 01:44:50

401

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Musical notes and exponentials and logarithms

Published on 13 Apr 2026 - 1:44

score 8.6k · Answer 4 · 2026-04-16 18:26:12

8.6k

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If $\log _b a\cdot\log_c a +\log _a b\cdot\log_c b+\log _a c\cdot\log_b c=3$ then find the value of $abc$

Published on 16 Apr 2026 - 18:26

score 33 · Answer 5 · 2026-04-10 22:52:36

33

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Explain how does the second step follows from the first?

Published on 10 Apr 2026 - 22:52

score 96 · Answer 6 · 2026-04-16 00:07:57

96

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How do you solve the equation $\frac{1}{4}(8^{2x+1})+5\cdot8^x - 3 = 0$?

Published on 16 Apr 2026 - 0:07

score 35 · Answer 7 · 2026-04-14 14:35:53

35

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Trouble isolating $R$ in equation $lnR - \frac{n+R}{R} = 0$ (minimizing Radix sort time)

Published on 14 Apr 2026 - 14:35

score 45 · Answer 8 · 2026-04-12 04:13:15

45

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Name and Generalise This Linear Exponent Formula

Published on 12 Apr 2026 - 4:13

score 79 · Answer 9 · 2026-04-17 10:19:27

79

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Domain of $\;y =\; \frac{\sqrt {4 - \log_2 x}}{\log_2 (x - 1)}$

Published on 17 Apr 2026 - 10:19

score 63 · Answer 10 · 2026-04-15 00:12:45

63

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Logs of negative numbers

Published on 15 Apr 2026 - 0:12

score 3.3k · Answer 11 · 2026-04-16 14:17:42

3.3k

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Solving logarithmic inequality $\ln(x)\geq1-\frac{1}{x}$

Published on 16 Apr 2026 - 14:17

score 117 · Answer 12 · 2026-04-10 03:20:11

117

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Logarithmic simplification

Published on 10 Apr 2026 - 3:20

score 127 · Answer 13 · 2026-04-09 01:07:16

127

Views

Does $n^{log4n}$ grow faster than a polynomial?

Published on 09 Apr 2026 - 1:07

score 1.6k · Answer 14 · 2026-04-15 17:09:10

1.6k

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Prove that $a\sqrt{\log_{a}b}=b\sqrt{\log_{b}a}$.

Published on 15 Apr 2026 - 17:09

score 81 · Answer 15 · 2026-04-15 18:47:17

81

Views

Solving for x $\ln{(-4x-2)}-\ln{(-4x)} = \ln{(4)}$

Published on 15 Apr 2026 - 18:47

List Question

Show that $|z^a| = \exp(a \ln |z|) = |z|^a$ when $z\neq{0}$ and $a$ is a real number

Finding revenue maximizing price with semi-log demand function

Musical notes and exponentials and logarithms

If $\log _b a\cdot\log_c a +\log _a b\cdot\log_c b+\log _a c\cdot\log_b c=3$ then find the value of $abc$

Explain how does the second step follows from the first?

How do you solve the equation $\frac{1}{4}(8^{2x+1})+5\cdot8^x - 3 = 0$?

Trouble isolating $R$ in equation $lnR - \frac{n+R}{R} = 0$ (minimizing Radix sort time)

Name and Generalise This Linear Exponent Formula

Domain of $\;y =\; \frac{\sqrt {4 - \log_2 x}}{\log_2 (x - 1)}$

Logs of negative numbers

Solving logarithmic inequality $\ln(x)\geq1-\frac{1}{x}$

Logarithmic simplification

Does $n^{log4n}$ grow faster than a polynomial?

Prove that $a\sqrt{\log_{a}b}=b\sqrt{\log_{b}a}$.

Solving for x $\ln{(-4x-2)}-\ln{(-4x)} = \ln{(4)}$

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