3
QuizMultiple Choice

Properties of Logarithms — Quiz

Question 3 • Mathematics III

Given log_3⁡2≈0.631 and the log base 3 of 7 almost equal to 1 point 7 7 1 , what is the log base 3 of 14 ?

Answer
A
1 point 8 9 3
B
1 point 1 1 8
C
2 point 4 0 2
D
3 point 5 4 2

Explanation

Use the product rule for logarithms: log₃(14) = log₃(2 × 7) = log₃(2) + log₃(7). Substituting the given approximations gives 0.631 + 1.771 = 2.402, so the answer is choice C, 2.402.

AI-written and checked against the verified answer.

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