Respuesta :

the first statement should be true

The statement which is true for the logarithmic function, log3 (x+1) equal to 2 is similar to option A, which is,

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

What is the exponent of log rule?

The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.

For example,

[tex]\log_b k=x\\[/tex]

It can be written as,

[tex]b_x=k[/tex]

Let k is the number and b is the base thus,

The given logarithmic function in the problem is,

[tex]\log_3 (x+1)=2[/tex]

By the property of exponent of the logarithmic function, the above expression can be written as,

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

Rewrite the above equation as,

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

Hence, the statement which is true for the logarithmic function, log3 (x+1) equal to 2 is similar to option A, which is,

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

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114