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Algebra II

How do I find the common logarithm of a number?

Kristina Mcclain 2022-01-20

Is $\log 2 π$ rational?

urlacainnxp 2022-01-20

How did my professor change this logarithm into the next one?
Logarithms are a weak point for me and Im

kuntungw3 2022-01-20

Expand the expression into a sum, difference, and/or multiple of logarithms:
${\log (\frac{a^{2} b}{c})}^{3}$

Autohelmvt 2022-01-20

Express as sums or differences of logarithms.
$\log (\frac{x^{3}}{y z^{5}})$

Vilharjevw7 2022-01-20

$\log_{7} n$ is either an integer or an irrational number

Krzychau1 2022-01-20

Closed form for the partial sum $\sum_{k = 1}^{n} \frac{\ln k}{k}$

interdicoxd 2022-01-20

Write the logarithmic expression
$\log (\sqrt[3]{\frac{x^{- 12} y^{7}}{z^{- 14}}})$
as an expression involving three separate logarithms

osula9a 2022-01-19

Proving limit with $\log (n!)$
I am trying to calculate the following limits, but I dont

feminizmiki 2022-01-19

Proving:
$\frac{2 x}{2 + x} \leq \ln (1 + x) \leq \frac{x}{2} \frac{2 + x}{1 + x}, x > 0 .$

piarepm 2022-01-19

Proof that $\frac{2}{3} < \log (2) < \frac{7}{10}$
Positive integrals
$\int_{0}^{1} \frac{2 x {(1 - x)}^{2}}{1 + x^{2}} d x = π - 3$
and
$\int_{0}^{1} \frac{x^{4} {(1 - x)}^{4}}{1 + x^{2}} d x = \frac{22}{7} - π$
prove that
$3 < π < \frac{22}{7}$
Is there a similar argument for the following $\log (2)$ inequality?
$\frac{2}{3} < \log (2) < \frac{7}{10}$

feminizmiki 2022-01-19

Prove an algorithm for logarithmic mean $lim_{n \to \infty} a_{n} = lim_{n \to \infty} b_{n} = \frac{a_{0} - b_{0}}{\ln a_{0} - \ln b_{0}}$

Pam Stokes 2022-01-18

If z is a complex function and $z^{3} = 8 i$ , what are all the values of z?

2022-01-17

What are complex numbers? $\ln (1 - i)$

2022-01-17

If $| z - 6 | < | z - 2 |$ , what is its solution given given by?

2022-01-17

Is $\frac{3 π}{2}$ the same as $- \frac{π}{2}$ ? In trigonometric terms, they are the same

2022-01-17

Let
$f (z) = \frac{e^{z}}{z^{5}}$ and C be the circle $| z | = 10$ in the counter-clockwise direction. What is $\frac{1}{2 π i} \int_{C} f (z) d z ?$

2022-01-17

What's the square root of -10?

2022-01-17

Is the sum of two complex numbers always a real number?

2022-01-17

Is $3 + \sqrt{5}$ a complex number?

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