[tex]\bf 1000^{log_{10}(x)}\qquad 1000=10^3\\\\
-----------------------------\\\\
{{ a}}^{log_{{ a}}x}=x\impliedby \textit{using the log cancellation}\\\\\\
and\qquad log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-----------------------------\\\\
(10^3)^{log_{10}(x)}\implies 10^{3log_{10}(x)}\implies 10^{log_{10}(x^3)}\implies x^3[/tex]
