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Manipulating Integrals involving Inverse exponential

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#integration #logarithms #indefinite-integrals #fractions
94
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Is there a better way to compute first digits of very large numbers?

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#logarithms #decimal-expansion #big-numbers
32
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Show that for $a \neq b$ it holds: $\frac{e^b-e^a}{b-a} < \frac{e^b+e^a}{2}$

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#real-analysis #algebra-precalculus #analysis #logarithms #exponential-function
99
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$x$ is distributed as Poisson with parameter $\lambda$, prove $\text{E}(\log(x+0.5)-\log\lambda)+0.02/\lambda>0$

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#inequality #logarithms #expected-value #poisson-distribution
41
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When solving Logarithmic Inequalities why are the two following methods not the same?

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#inequality #logarithms
150
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Iterating $\log(x\log(x\log(...)))$

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#calculus #sequences-and-series #limits #logarithms
88
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Find the value of $\log_{5}(0.0016)$

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#algebra-precalculus #logarithms
58
Views

Strange logarithm inequality

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#logarithms
170
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How do you solve this formula $(1 + 0.02X) ^{1/X} = 1.0161$

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#logarithms #exponential-function
38
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Applying log on a generating function

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#logarithms #generating-functions
54
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What property is being used to simplify this logarithm? $ 4^{log_2 n} = n^2$

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#summation #logarithms #computational-complexity
59
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Why is y=In x the only logarithmic function with a gradient 1 at x=1?

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#logarithms #exponential-function
43
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If $\log_{12} 18=a$ and $\log_{24} 54=b$ prove that $ab+5(a-b)=1$

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#logarithms
71
Views

Asympototic estimation of log log function

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#real-analysis #sequences-and-series #analysis #logarithms #asymptotics
94
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Is there a series for the common (base-10) logarithm of 3?

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#logarithms

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