Squeezing The Log

Calculus Level 2

limxlog(x3+(log(x))3)log(x2+(log(x))2)=? \large \displaystyle \lim_{x \to \infty} \dfrac{\log{(x^3+(\log{(x)})^3)}}{\log{(x^2+(\log{(x)})^2)}} = \, ?

Clarification: The base of all the logarithms are equal but not specified.

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