$ (\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. 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. 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.
You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do i get it Instead, you can save this post to reference later. Q&a for people studying math at any level and professionals in related fields Expansion of square root of a sum ask question asked 4 years, 11 months ago modified 4 years, 11 months ago
Look at the differences between square of two consecutive numbers $1, 3, 5, 7$, etc. Square root of compact operator ask question asked 13 years, 3 months ago modified 11 years, 2 months ago
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