5
QuizMultiple Choice

Solving Logarithmic Equations Using Technology — Quiz

Question 5 • Mathematics III

Devonte used the change of base formula to approximate the log base 8 of 25 Which expression did Devonte use?

Answer
A
log 25 eighths
B
the fraction with numerator log 8 and denominator log 25
C
the fraction with numerator log 25 and denominator log 8
D
the log of 8 over 25

Explanation

The change of base formula is log_b(a) = log(a) / log(b), using the same logarithm base in the numerator and denominator. For log base 8 of 25, this gives log 25 divided by log 8, which is choice C.

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