6
QuizMultiple Choice

Evaluating Logarithmic Expressions — Quiz

Question 6 • Mathematics III

Which logarithmic equation is equivalent to 3 squared is equal to 9 ?

Answer
A
2 is equal to the log base 3 of 9
B
2 is equal to the log base 9 of 3
C
3 is equal to the log base 2 of 9
D
3 is equal to the log base 9 of 2

Explanation

The exponential statement 3² = 9 means that 3 is the base, 2 is the exponent, and 9 is the result. In logarithmic form, the exponent is the logarithm: log₃(9) = 2. Therefore, the equivalent equation is “2 is equal to the log base 3 of 9.”

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