8
QuizMultiple Choice

Solving Logarithmic Equations Using Technology — Quiz

Question 8 • Mathematics III

Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown. the fraction with numerator log 1 fourth and denominator log 12 Which expression could be Tyler’s original expression?

Answer
A
the log base 1 fourth of 12
B
12 log 1 fourth
C
the log base 12 of 1 fourth
D
1 fourth log 12

Explanation

The change-of-base formula is log_b(a) = log(a) / log(b). The numerator log(1/4) is the logarithm of the argument, and the denominator log(12) is the logarithm of the base, so Tyler’s original expression was log base 12 of 1/4, choice C.

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