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

Option A:  is the correct statement  x + 1 = 3 squared

Step-by-step explanation:

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.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl