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What is the value of [tex]$\log _3 9$[/tex]?
A. 3
B. 2
C. 1
D. 27

Sagot :

GinnyAnswer
To determine the value of [tex]\(\log_3 9\)[/tex], we need to find the exponent [tex]\(x\)[/tex] such that [tex]\(3^x = 9\)[/tex].

First, we recognize that 9 can be written as [tex]\(3^2\)[/tex]. Thus, we have:

[tex]\[ 3^x = 3^2 \][/tex]

Since the bases are the same, we can equate the exponents:

[tex]\[ x = 2 \][/tex]

Hence, the value of [tex]\(\log_3 9\)[/tex] is [tex]\(2\)[/tex].

The correct answer is:
B. 2
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