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Solve $3= 3^{z}.$

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#complex-analysis #complex-numbers #logarithms #exponential-function #exponentiation
86
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Why $\sqrt{\left(\frac{-\sqrt3}2\right)^2+{(\frac12)}^2}$ is equal to 1?

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#arithmetic #exponentiation #radicals
833
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What is $\ln(-1)$? How is $\ln(x)$ defined on the negative complex numbers?

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#complex-numbers #logarithms #exponentiation
93
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Does entropy increase exponentially as the number of observations increase?

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#exponentiation #information-theory #entropy
27
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Series to power example

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#power-series #taylor-expansion #exponentiation
293
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Base-Exponent Invariants

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#number-theory #recreational-mathematics #exponentiation #exponential-diophantine-equations
656
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Is there a known formula for the number of $k^{\text{th}}$ power residues modulo $2^n$?

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#group-theory #number-theory #prime-numbers #modular-arithmetic #exponentiation
206
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How to prove that $(a^n)^m = a^{nm}$ for non-integer exponents?

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#exponentiation
76
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If there is a way to express an integer as a sum of three non-zero cubes, then there are infinitely many ways

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#proof-writing #solution-verification #exponentiation #integers #perfect-powers
45
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How to get the value of r when I have the value of r^² ( 1000 = r^2)?

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#exponentiation
150
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Inequalities for generalized means

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#calculus #statistics #inequality #exponentiation #holder-inequality
93
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solve for $x$, $(\sqrt{a+ \sqrt{a^2-1}})^x+(\sqrt{a- \sqrt{a^2-1}})^x=2a$

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#algebra-precalculus #functions #exponentiation
157
Views

If $a = \frac{1+\sqrt5}2$, then what is $a^{18} + \frac{323}{a^6}$?

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#algebra-precalculus #exponentiation
569
Views

Show that : $f(x)+f(1-x)\leq 2$

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#limits #trigonometry #inequality #exponentiation
468
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Calculating the integral of exponential of exponential

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#integration #exponentiation

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