Respuesta :
Answer:
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]\log _3\:x^9[/tex]
now rewriting the expression
[tex]\log _3\:x^9[/tex]
[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]=9\log _3\left(x\right)[/tex]
Therefore,
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]