Respuesta :

log₃ (x+1) = 3
It could be written:
(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26

Answer:

x = 8 is the correct statement.

Step-by-step explanation:

The given statement is [tex]log_{3}(x+1)=2[/tex]

Now from the rules of the logarithm

[tex]log_{3}(x+1)=2[/tex]

[tex]3^{2}=(x+1)[/tex]  [Since [tex]log_{a}b=c\Rightarrow b=a^{c}[/tex]]

Therefore [tex]3^{2}=(x+1)[/tex]

x + 1 = 9

x = 9 - 1 = 8

Therefore answer will be x = 8.