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Find x but in terms of what? It's not an equation but just a term
is it also the natural log?
Is it?
$\ x^{2(log_{10}x)^3-\frac{3}{2}log_{10}x} = \sqrt{10}$
adonhs
You can do $log_{10}(...)$ on both sides
And then I am sure you know about an important log rule
where you can drag out the exponent
and it should be solvable with a substitution in the end