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How would I solve for $x$ in $4^{x+7}=5^{x-3}$?

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#solution-verification #logarithms #exponentiation
46
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How to solve $x^x=2$

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#logarithms #exponential-function #exponentiation
136
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Nice exponential equation by SyberMath: $2^{x^2}\cdot5^x=10$

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#solution-verification #logarithms #exponentiation
33
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Proving $2^{\log^{1-\varepsilon}n}\in \omega(\operatorname{polylog}(n))$

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#limits #logarithms #polylogarithm
84
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How to get the derivative of $\log_4 x$ using the change of base, but without assuming we have the derivative of $\ln x$?

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#calculus #derivatives #logarithms
75
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Prove $n+n^{c}\log n^{c}+1 \in O(n)$ for some $c<1$

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#logarithms #asymptotics #data-structure
29
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Issues involving Complex numbers and Integration when simplifying the question

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#integration #definite-integrals #logarithms
80
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$a_1>0$ and $a_{n+1}=\ln{(a_n+1)}$. Where is the largest term of the sequence $na_n$?

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#sequences-and-series #limits #logarithms #asymptotics #recurrence-relations
109
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The product of logarithms

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#optimization #logarithms
56
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Are these options correct, regarding logarithmic function

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#functions #logarithms
181
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How to solve for $x$ in $2^x+4^x=8^x$

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#algebra-precalculus #solution-verification #logarithms
71
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Find $x^\sqrt{2}+y^{\sqrt{2}}$ if $(\log_2 x)^4 + (\log_3 y)^4 + 8 = 8 (\log_2 x)(\log_3 y)$ and $x, y > 1$.

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#algebra-precalculus #logarithms
47
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Problems w/ e and functions

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#calculus #integration #multivariable-calculus #logarithms #exponential-function
129
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Log power law confusion with squares

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#algebra-precalculus #logarithms
50
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Why does the graph of $-\left(x\right)\log_{2}\left(x\right)-\left(1-x\right)\log_{2}\left(1-x\right)$ look like: $\cap$?

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#functions #logarithms #graphing-functions #intuition

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