9
QuizMultiple Choice

Properties of Logarithms — Quiz

Question 9 • Mathematics III

Given the log base 4 of 3 almost equal to 0 point 7 9 2 and the log base 4 of 21 almost equal to 2 point 1 9 6 , what is the log base 4 of 7 ?

Answer
A
1 point 4 0 4
B
2 point 7 7 3
C
2 point 9 8 8
D
1 point 7 3 9

Explanation

Since 21 = 3 × 7, the product rule for logarithms gives log₄(21) = log₄(3) + log₄(7). Rearrange and subtract: log₄(7) ≈ 2.196 − 0.792 = 1.404. Therefore, the correct choice is 1.404.

AI-written and checked against the verified answer.

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