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  • How do I square a logarithm? - Mathematics Stack Exchange
    $\log_2 (3) \approx 1 58496$ as you can easily verify $ (\log_2 (3))^2 \approx (1 58496)^2 \approx 2 51211$ $2 \log_2 (3) \approx 2 \cdot 1 58496 \approx 3 16992$ $2^ {\log_2 (3)} = 3$ Do any of those appear to be equal? (Whenever you are wondering whether some general algebraic relationship holds, it's a good idea to first try some simple numerical examples to see if it is even possible
  • Why can I square both sides? - Mathematics Stack Exchange
    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 the same thing is okay For example: $ x = 1 $ $ x-1 = 1-1 $ $ x-1 = 0 $ $ x \times 2 = 1 \times 2 $ $ 2x = 2 $ like this But how come squaring both
  • algebra precalculus - How to square both the sides of an equation . . .
    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 which there's a square root on the LHS) without substitution?
  • What is the difference between meters squared and square meters?
    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 difference in a British school in the 1970s, and it was the order of the words that was emphasised
  • Inequality proof, why isnt 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 misconception that simply squaring both sides of an inequality is ok because we can do it indiscriminately with equalities
  • Isnt square root a bit like Log()? - Mathematics Stack Exchange
    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 me a while ago that Log() is also opposite of exponent, wouldn't that mean that square root is like a variant of Log () that only inverse a squared number?
  • How do you find the closest square number to another number without . . .
    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
  • geometry - Perpendiculars passing through diagonal intersection in a . . .
    Let $ABCD$ be a square with points $F \\in BC$ and $H \\in CD$ such that $BF = 2FC$ and $DH = 2HC$ Construct: Line through $F$ parallel to $AB$, meeting $AD$ at $E




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