4
QuizMultiple Choice

Evaluating Logarithmic Expressions — Quiz

Question 4 • Mathematics III

Which logarithmic equation is equivalent to 8 squared is equal to 64 ?

Answer
A
2 is equal to the log base 8 of 64
B
2 is equal to the log base 64 of 8
C
8 is equal to the log base 2 of 64
D
64 is equal to the log base 2 of 8

Explanation

Use the equivalence a^b = c ⇔ log base a of c = b. Since 8 squared equals 64, the equivalent logarithmic equation is log base 8 of 64 = 2. This matches choice A: 2 is equal to the log base 8 of 64.

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