3
QuizMultiple Choice

Evaluating Logarithmic Expressions — Quiz

Question 3 • Mathematics III

Which equation is equivalent to log sub 3 of open paren x plus 5 close paren is equal to 2 ?

Answer
A
2 cubed is equal to x plus 5
B
2 cubed is equal to log sub 3 of open paren x plus 5 close paren squared
C
3 squared is equal to x plus 5
D
3 squared is equal to log sub 3 of open paren x plus 5 close paren cubed

Explanation

By the definition of a logarithm, log₃(x + 5) = 2 means that 3 raised to the power 2 equals x + 5. Therefore, the equivalent equation is 3² = x + 5, choice B.

AI-written and checked against the verified answer.

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