4
QuizMultiple Choice

Solving Logarithmic Equations Using Technology — Quiz

Question 4 • Mathematics III

Which expression results when the change of base formula is applied to log sub 4 of open paren x plus 2 close paren ?

Answer
A
the fraction with numerator log 4 and denominator the log of open paren x plus 2 close paren
B
the fraction with numerator log 4 and denominator log x plus 2
C
the fraction with numerator log x plus 2 and denominator log 4
D
the fraction with numerator the log of open paren x plus 2 close paren and denominator log 4

Explanation

The change of base formula gives log₄(x + 2) = log(x + 2) / log 4. The parentheses stay together as the argument of the numerator’s logarithm, so the correct expression is “the log of (x + 2) over log 4.”

AI-written and checked against the verified answer.

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