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$\log_2 (3) \approx 1.58496$ as you can easily verify Branch cut of square root ask question asked 5 years, 1 month ago modified 1 year, 4 months ago $ (\log_2 (3))^2 \approx (1.58496)^2 \approx 2.51211$

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$2 \log_2 (3) \approx 2 \cdot 1.58496 \approx 3.16992$ [try it out my multiplying it by itself.] it has no special notation beyond other complex numbers $2^ {\log_2 (3)} = 3$

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. 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 $y(t)=\\sin(t)$.

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. 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? In english, is there a difference between square and squared Ask question asked 4 years, 10 months ago modified 4 years, 10 months ago

The square root of i is (1 + i)/sqrt (2)