Which of the following ranges of integers contains the value of the following expression
[tex]log _{9} (9 ^{7/3} )[/tex]

Respuesta :

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{7}{3}\log _9\left(9\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1[/tex]
[tex]=\frac{7}{3}[/tex]