buchaell000 buchaell000

21-05-2019
Mathematics

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For what value of x does 3^4x=27^x-3? a. –9 b. –3 c. 3 d. 9

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jdoe0001 jdoe0001

21-05-2019

[tex]\bf 3^{4x}=27^{x-3}\implies 3^{4x}=(3^3)^{x-3}\stackrel{~\hfill \textit{same base, the exponents must also be the same}}{\implies 3^{4x}=3^{3(x-3)}\implies 3^{4x}=3^{3x-9}\qquad } \\\\\\ 4x=3x-9\implies x=-9[/tex]

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