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  • 22-02-2017
  • Mathematics
Answered

3^n+4=27^2n


solve using common bases?

Verified Answer :

jdoe0001 jdoe0001
  • 22-02-2017

\(\bf 3^{n+4}=27^{2n}\qquad 27=3^3\qquad thus \\\\ 3^{n+4}=(3^3)^{2n}\implies 3^{n+4}=3^{3\cdot 2n}\implies 3^{n+4}=3^{6n} \\\\ \textit{same bases, thus the exponent must be the same} \\\\ n+4=6n\)

pretty sure you'd know what "n" is

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