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Simplifying Ramanujan's limited infinite root

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#exponentiation #recursion #nested-radicals
105
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Tetration fractal algorithm

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#complex-numbers #algorithms #exponentiation #fractals
58
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How do I solve for $t$ in this question? $5^{2t+2}-{100}^{2t}=625$

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#algebra-precalculus #logarithms #exponentiation
438
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Proving $(ab)^{1/n}=a^{1/n}b^{1/n}$.

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#proof-explanation #exponentiation
58
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Is it common to write $f'^{2}(x)$, particularly when $f$ is a trigonometric function?

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#functions #derivatives #trigonometry #notation #exponentiation
32
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Is there a notation for summing a non-variable set of exponents

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#summation #notation #exponentiation
334
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Sum of digits of sum of digits of powers of 12345

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#elementary-number-theory #exponentiation #decimal-expansion
76
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Solve nonlinear equation

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#numerical-methods #exponential-function #exponentiation #nonlinear-system
1.5k
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Meaning of "$\exp[ \cdot ]$" in mathematical equations

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#notation #exponentiation #fuzzy-logic
71
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Refinement inequality of : $\sqrt{x}+x^{\frac{x}{x+1}}\geq x+1$

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#limits #inequality #power-series #exponentiation #a.m.-g.m.-inequality
63
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How to solve where an equation where the variable is in the exponent?

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#logarithms #exponentiation
67
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Prove that an inequality holds for $\alpha \ge 2$

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#limits #inequality #power-series #exponentiation
17.3k
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Isn't square root a bit like Log()?

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#logarithms #arithmetic #exponentiation #radicals
185
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Combinatorial proof that $2^{n+1}-1=1+2+4+\dots+2^n$

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#sequences-and-series #combinatorics #summation #exponentiation #combinatorial-proofs
32
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When does the inequality hold? $\frac{(6x)^3(2x+1)^2}{2x(2x-1)} < \sqrt[2x]{(6x+1)^{6x+1}}, \quad x \in \mathbb{R}^+$

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#inequality #exponentiation

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