Respuesta :

A logarithm is inverse of the power. The logarithm of the number cancels the exponents of the number. The statement A is true for the given equation which is,

[tex]x+1&=3^2\\[/tex]

Given information-

The given logarithm expression is,

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

Logarithm function-

A logarithm is inverse of the power. The logarithm of the number cancels the exponents of the number.

The exponential rule of the logarithm is,

If,

[tex]log_a(b)=c[/tex]

Then,

[tex]b=a^c[/tex]

Use this logarithm law in the given equation,

[tex]\begin{aligned}\\ \log_3(x+1)&=2\\ x+1&=3^2\\ \end[/tex]

The above equation is the equation of statement A.

Thus the statement A is true for the given equation which is,

[tex]x+1&=3^2\\[/tex]

Learn more about the Logarithm function here;

https://brainly.com/question/13473114

Answer:

Option A:  is the correct statement

Step-by-step explanation: