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QuizMultiple Choice

Solving Logarithmic Equations Using Technology — Quiz

Question 1 • Mathematics III

Which is equivalent to the log base 2 of n is equal to 4 ?

Answer
A
n is equal to the fraction with numerator log 2 and denominator log 4
B
log n is equal to 4 log 2
C
n is equal to log 4 times log 2
D
log n is equal to the fraction with numerator log 2 and denominator 4

Explanation

Use the change-of-base rule: log₂(n) = log(n) / log(2). Since this equals 4, multiply both sides by log(2) to get log(n) = 4 log(2). Therefore, the equivalent statement is “log n is equal to 4 log 2,” choice C.

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