Question

$(5 + (24)^{\frac{1}{2}})^x + (5 - (24)^{\frac{1}{2}})^x = 10$ , solve for $x$

score 382 · Answer 1 · 2026-04-17 02:27:49

382

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$(5 + (24)^{\frac{1}{2}})^x + (5 - (24)^{\frac{1}{2}})^x = 10$ , solve for $x$

Published on 17 Apr 2026 - 2:27

score 66 · Answer 2 · 2026-04-15 11:03:11

66

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48

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score 50 · Answer 12 · 2026-04-16 03:32:51

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Prove, for every $l \geq 3$ , the $\Big( 1- \dfrac{1}{2 \cdot l}\Big)^{2 \cdot l} < \dfrac{1}{e}$ holds

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score 162 · Answer 13 · 2026-04-17 08:55:02

162

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36

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score 182 · Answer 15 · 2026-04-10 16:21:00

182

Views

Express $y = KC^x$ as a linear function

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List Question

$(5 + (24)^{\frac{1}{2}})^x + (5 - (24)^{\frac{1}{2}})^x = 10$ , solve for $x$

If $x>0$ and $x^a=x^b$ can one assume that $a=b$?

multiplying powers with variable in exponent and different bases

Calculating the mass xkg of radio-active substance pertaining to days after starting timing

Can I bound this $N((1+\delta)^{2N}+1)\leq N^j$? for any $j\in \mathbb{N}$, where $\delta<1$

What is the solution for $y(t)=e^{-\frac{t}{\tau y(t)}}$?

Subtracting powers with variable in exponent

A basic question about the decay rate of $te^{-t}$ as $t$ tends to infinity

exponential function and mathematical induction

Equations with variable Exponents

$(-1)^0$ , calculating zeroth power of a negative number

Prove, for every $l \geq 3$ , the $\Big( 1- \dfrac{1}{2 \cdot l}\Big)^{2 \cdot l} < \dfrac{1}{e}$ holds

Check that $\lim\limits_{n\to\infty}\sum\limits_{i=1}^{n}\left(\frac{i+x}{n}\right)^n=\frac{e^{x+1}}{e-1}$

How to show that: $\log_a (x^{a}-x)-\log_a \Big(\dfrac{x^{a}-x}{a}\Big)=1$, where $a$ and $x$ are positive integers.

Express $y = KC^x$ as a linear function

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