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How to solve for x in $2^{2x^2}+2^{x^2 + 2x + 2} =2^{5+4x}$

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#logarithms #exponentiation
2.7k
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$1989 \mid n^{n^{n^{n}}} - n^{n^{n}}$ for integer $n \ge 3$

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#elementary-number-theory #modular-arithmetic #exponentiation
174
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Evaluate the limit $\lim_{n\to\infty} \frac{3^n}{2^n+3^n} $

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#limits #exponential-function #exponentiation #infinity
248
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Can we write "fractional root" symbol in math?

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#roots #exponentiation #fractions
146
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exponent problem solving

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#exponentiation
2.5k
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why is $2.2250738585072014\text{e}{-308}$ not a number?

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#computer-science #exponentiation #floating-point
18
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Values of $a$ for which the equation $100^{-\lvert x \rvert} - x^2 = a^2$ has the maximum amount of solutions

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#exponentiation
390
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Solution to the functional equation $f(x^y)=f(x)^{f(y)}$

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#exponential-function #exponentiation #functional-equations
68
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How do we derive the sum of $3^n$ and $2^n$

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#sequences-and-series #summation #power-series #exponentiation
176
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Solutions to $(4x^2+\frac{16}3x)^{\sqrt {3-x}}=(4x^2+\frac{16}3x)^{\sqrt {2x+11}-\sqrt{x+2}}$

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#exponentiation #quadratics
155
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Maclaurin Series of $\frac{2x}{e^{2x}-1}$

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#taylor-expansion #exponentiation
11.2k
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Compare two powers of numbers without common divisor

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#inequality #arithmetic #exponentiation
1.4k
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Maclaurin Series of $\ln(2-e^{-x}) $

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#taylor-expansion #exponentiation
128
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Modular arithmetic , calculate $54^{2013}\pmod{280}$.

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#elementary-number-theory #modular-arithmetic #exponentiation
131
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Matrix multiplication: What is $\mathbf A^3$ and $\mathbf A^n$?

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#matrices #exponentiation

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