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$\log_2 (3) \approx 1.58496$ 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. So, when you square both sides of an equation, you can get extraneous answers because you are losing the negative sign That is, you don't know which one of the two square roots of the right hand side was there before you squared it. Q&a for people studying math at any level and professionals in related fields

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 But how come squaring both. What is the appropriate parametric equation of the boundary of a square

For example, the unit circle has a parametric equation $x(t)=\\cos(t)$ and $y(t)=\\sin(t)$. 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?

To clarify, you mean that a square of dimensions $n\times n$ can be divided into $n$ smaller squares That is, a $6\times6$ square can be broken into 6 smaller squares? Could be a coincidence, let $p=16193$, then the first few primes of the form $p\cdot 2^n+1$ occur for $n=9,49,361,6393$ and the first three values of $n$ are squares. The square root of i is (1 + i)/sqrt (2)

[try it out my multiplying it by itself.] it has no special notation beyond other complex numbers

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