avi9al7opezzel avi9al7opezzel

30-11-2016
Mathematics

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Simplify each expression:
12^log base 12 of 144

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JcAlmighty JcAlmighty

06-12-2016

The answer is 144

[tex] 12^{log_{12}(144) } \\ \\ log_b(x) = y \\ b^{y} =x \\ log_{12}(144)=y \\ 12^{y}=144 \\ 12^{y}=12^{2} \\ y =2 \\ \\ log_{12}(144)=2 \\ \\ 12^{log_{12}(144) } = 12^{2} =144[/tex]

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