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The Function $1-(1-1/x)^{x}$

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#limits #functions #logarithms #upper-lower-bounds #infinitesimals
51
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Can anyone show me $V(r)=V_0\ln(\frac{b}{a}) \ln(r)-V_0\ln(\frac{b}{a}) \ln(b)=\frac{V_0}{\ln(\frac{a}{b})}\ln(\frac{r}{b})$?

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#logarithms #quadratics #quadratic-forms
86
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Stuck on an assertion involving floors of base-$10$ logarithms

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#logarithms #ceiling-and-floor-functions
113
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Value of $x$ such that the area under the curve of $lnx$ up to $x$ is $1$.

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#integration #logarithms #area #wolfram-alpha
128
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How to solve $\ln(-2)=z$?

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#algebra-precalculus #solution-verification #complex-numbers #logarithms
125
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What can be said about $a^{\lfloor \log_ab \rfloor}$?

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#logarithms
173
Views

How to solve $b^x$=$\log_bx$?

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#algebra-precalculus #solution-verification #logarithms
92
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How do I solve $\log_{10}(X^2+3x)=1-log_{10}(x-3)$? Note this is a final exam problem in a basic algebra class.

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#polynomials #logarithms
95
Views

How to find what number raised to its own power is equal to a given number?

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#logarithms #tetration
98
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How to solve a quadratic raised to another quadratic?

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#algebra-precalculus #logarithms #quadratics
371
Views

Closed-form Maclaurin series of $\log\cosh(x)$

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#logarithms #taylor-expansion #hyperbolic-functions
106
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Solve $(1-(-a*\ln(bx))^n)x=\delta$ for $x$

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#calculus #logarithms #systems-of-equations
160
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Principal Value of Logarithm Log(z1/z2)=Log(z1)-Log(z2) holds?

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#logarithms
26
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limit of log(n) over floor(log(n))

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#calculus #limits #logarithms #ceiling-and-floor-functions
60
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What is a good approximation for $a-\log_{10}\left(10^a-1\right)$?

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#logarithms #approximation

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