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  1. How do I square a logarithm? - Mathematics Stack Exchange

    May 7, 2015 · $\log_2 (3) \approx 1.58496$ as you can easily verify. $ (\log_2 (3))^2 \approx (1.58496)^2 \approx 2.51211$. $2 \log_2 (3) \approx 2 \cdot 1.58496 \approx 3.16992$. $2^ {\log_2 …

  2. Why can't you square both sides of an equation?

    Nov 17, 2013 · That's because the $9$ on the right hand side could have come from squaring a $3$ or from squaring a $-3$. So, when you square both sides of an equation, you can get extraneous …

  3. Why can I square both sides? - Mathematics Stack Exchange

    Jan 2, 2022 · we can square both side like this: $ x^2= 2$ But I don't understand why that it's okay to square both sides. What I learned is that adding, subtracting, multiplying, or dividing both sides by …

  4. algebra precalculus - How to square both the sides of an equation ...

    Apr 20, 2016 · I understand that you can't really square on both the sides like I did in the first step, however, if this is not the way to do it, then how can you really solve an equation like this one (in …

  5. What is the difference between "meters squared" and "square meters"?

    Sep 28, 2020 · This is certainly true about 'metre square'. You might however think there is a different meaning to 'metre squared' and 'metre square', as perhaps Paul does. I was explicitly taught the …

  6. Inequality proof, why isn't squaring by both sides permissible?

    7 Short answer: We can't simply square both sides because that's exactly what we're trying to prove: $$0 < a < b \implies a^2 < b^2$$ More somewhat related details: I think it may be a common …

  7. Isn't square root a bit like Log()? - Mathematics Stack Exchange

    May 26, 2020 · I took a look at square root. Squaring the number means x^2. And if I understood the square root correctly it does a bit inverse of squaring a number and gets back the x. I had a friend tell …

  8. Why sqrt(4) isn't equall to-2? - Mathematics Stack Exchange

    If you want the negative square root, that would be $-\sqrt {4} = -2$. Both $-2$ and $2$ are square roots of $4$, but the notation $\sqrt {4}$ corresponds to only the positive square root.

  9. How do you find the closest square number to another number …

    Mar 10, 2020 · Say we try to find the closest square number to 26. we already know the closest square number is $25$. However, how do I calculate out 25? Because, if I try to prime factorize it like so: $\\s...

  10. geometry - Perpendiculars passing through diagonal intersection in a ...

    Nov 23, 2025 · Thus P P is the midpoint of diagonal EK E K, so P P is the center of square AKLE A K L E. Since P P and L L lie on diagonal AC A C of square ABCD A B C D, and AC A C is an axis of …