[tex]\sf \bf \sf 2^{x-3} > 4^{3}[/tex]
[tex]\sf \bf \sf 2^{x-3} > 2^{2(3)}[/tex]
[tex]\sf \bf \sf 2^{x-3} > 2^{6}[/tex]
[tex]\sf \bf \sf \cancel{2}^{x-3} > \cancel{2}^{6}[/tex]
[tex]\sf \bf \sf x-3 > 6[/tex]
[tex]\sf \bf \sf x> 6 + 3[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt x > 9}}}}[/tex]
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Verified answer
[tex]\sf \bf \sf 2^{x-3} > 4^{3}[/tex]
[tex]\sf \bf \sf 2^{x-3} > 2^{2(3)}[/tex]
[tex]\sf \bf \sf 2^{x-3} > 2^{6}[/tex]
[tex]\sf \bf \sf \cancel{2}^{x-3} > \cancel{2}^{6}[/tex]
[tex]\sf \bf \sf x-3 > 6[/tex]
[tex]\sf \bf \sf x> 6 + 3[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt x > 9}}}}[/tex]
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