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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
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logarithms - Logarithmic square - Mathematics Stack Exchange We can't really simplify the expression $ (\log_b a)^2$ since there exist no useful identities for powers of logarithms Recall that, in some sense, logarithms themselves are powers If you're really insistent on eliminating the square, there are several ways to rewrite the expression, such as $$ (\log_b a)^2=\log_b (a^ {\log_b a})=\dfrac {\log_b a} {\log_a b},$$ albeit these are
Is it possible to inscribe a square in ANY quadrilateral? Previously there was a question about constructing a square in an arbitrary quadrilateral (How to inscribe a square in an arbitrary quadrilateral using compass and straight edge) There was a link