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determinati nr natural n din egalitatea:[(3 supra 5)^6]^10=[(9 supra25)^5]^n

Răspuns :

[tex][( \frac{3}{5})^6]^{10}=[( \frac{9}{25})^5]^n,adica,( \frac{3}{5})^{6*10}=(\frac{3}{9})^{2*5*n},rezulta,10n=60,sau [/tex] n=6
[(3 / 5)^6]^10=[(9 /25)^5]^n
[(3 /5)^60]=[(9 /25)^5n]
[(3 /5)^60]=[(3 /5)^2]^5n
[(3 /5)^60]=[(3 /5)^10n]
60=10n
n=60:10
n=6