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What's the link between logarithms and the zeroth power, if any?

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#logarithms #exponentiation #intuition
91
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Find the positive integer $n$ which satisfy given condition.

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#inequality #logarithms #integers
1k
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Proving global minima of function

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#multivariable-calculus #trigonometry #optimization #logarithms #maxima-minima
2.8k
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What is the difference between a log of a price and a log of two prices?

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#calculus #statistics #logarithms #finance #regression
62
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Solving an exponential with three different bases

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#logarithms
96
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Find the value of $x$ in the given logarithmic equation.

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#algebra-precalculus #logarithms #exponential-function
224
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Root of $x^{x^{x^{x^{x^{.^{.^{.}}}}}}} = a$

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#logarithms
478
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Evaluate $\int_0^1 \frac{\mathrm{d}x}{\sqrt{1-x^2}}\frac{x }{1-k^2x^2}\log\left(\frac{1-x}{1+x}\right)$

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#integration #definite-integrals #logarithms #polylogarithm
81
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Find the limit of $x \ln[\ln(x^{-2})]$ as $x$ tends to $0$

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#calculus #limits #logarithms
102
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Prove Differentiability of $(\ln(1+|x|))^2$

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#real-analysis #derivatives #logarithms #absolute-value
90
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Deriving and defining $e^x$, $\log_b(x)$, $\ln(x)$, and their derivatives?

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#calculus #limits #derivatives #logarithms #euler-mascheroni-constant
65
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Formula for given Input-Output Set

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#algorithms #logarithms #ceiling-and-floor-functions
145
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Why does $10^{\log_{10}2} = 2$?

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#algebra-precalculus #logarithms
913
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What is the derivative of $(2x)^{4x}$?

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#calculus #derivatives #logarithms
121
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Was the only purpose of the $\log$ function to express the inverse of the exponential function in function form?

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#logarithms #math-history

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