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Deriving a function from an intergal

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#calculus #integration #logarithms
325
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Does the complex logarithm have a primitive on $\operatorname{Re}z >0$

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#integration #logarithms
297
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An integration $ \int_0^1 x\ln \left ( \sqrt{1+x}+\sqrt{1-x}\right)\ln \left ( \sqrt {1+x} -\sqrt{1-x} \right)\mathrm{d}x.$

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#calculus #integration #definite-integrals #logarithms #closed-form
54
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How to solve that logarithmic inequality?

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#inequality #logarithms #functional-inequalities
99
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There exists infinitely many $N$ such that $\{\sum_{n=2}^N\log(n)\}<\varepsilon$

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#sequences-and-series #logarithms #conjectures #fractional-part
75
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why is $2^{\log^{2}\frac{1}{2}} = 1/2$?

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#discrete-mathematics #logarithms
133
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How to simplify this eqauation into the form: $(a\times10^b)\times e^{cx}$?

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#logarithms #exponential-function #wolfram-alpha
91
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Equation with three exponential levels

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#logarithms #exponential-function #systems-of-equations #lambert-w
48.8k
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Simplify log of log

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#logarithms
970
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Finding the Big-O notation with logarithms involved.

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#discrete-mathematics #algorithms #logarithms #computer-science
171
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$ \sum_{k=0}^\infty (-1)^k \frac{(\ln 4)^{k}}{k!} $

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#calculus #summation #logarithms #infinity
584
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Find the smallest natural number n such that the decimal expansion of $9^n$ has $< n$ digits?

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#number-theory #elementary-number-theory #logarithms #binomial-theorem
68
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Are Logarithmic primes and Root primes useless?

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#sequences-and-series #prime-numbers #logarithms #radicals
47
Views

System with exponential and log

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#logarithms #exponential-function #systems-of-equations
447
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Prove : n * log(n) + m * log(m) < n * m

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#logarithms #computational-complexity

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