Which statement is true for log Subscript 3 Baseline (x + 1) = 2
x + 1 = 3 squared
x + 1 = 2 cubed
2 (x + 1) = 3
3 (x + 1) = 2

Option A: is the correct statement

Explanation:

The expression is

We need to determine the statement which is true for the expression

Using logarithmic definition, if then , we have,

Simplifying,

Now, we shall determine the statement which is true for the expression

Option A:

Simplifying, we get,

Thus, the expression is equivalent to

Hence, Option A is the correct answer.

Option B:

Simplifying, we get,

Since, the values of x from both the expressions are not equal.

Then, the expression   is not equivalent to

Hence, Option B is not the correct answer.

Option C:

Simplifying, we get,

Since, the values of x from both the expressions are not equal.

Then, the expression   is not equivalent to

Hence, Option C is not the correct answer.

Option D:

Simplifying, we get,

Since, the values of x from both the expressions are not equal.

Then, the expression   is not equivalent to

Hence, Option D is not the correct answer.

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