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Everything that we learned in the school maths I've come to use at one time or another. Except one thing. Solving equations like this:

$$ 1 + \log_2^2 x = \log_2 8x $$

"Where do we use this in real life?" Is this an example of an actually useless piece of school maths or have I not come across the real life use yet?

I am not sure why, but raising a logarithm to a power (other than 1 or 0) seems inherently unphysical to me.

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closed as too broad by Qmechanic May 15 at 12:35

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    $\begingroup$ Powers of logarithms are not unphysical at all. For example, they arise when renormalizing physical quantities in quantum field theories, as in equation (40) here: pdfs.semanticscholar.org/c6cd/… $\endgroup$ – G. Smith May 15 at 16:22

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