5
QuizMultiple Choice

Solving Equations Using Properties of Logarithms — Quiz

Question 5 • Mathematics III

Which of the following shows the equation log sub 4 of open paren x plus 6 close paren is equal to 2 rewritten using logarithms?

Answer
A
log sub 4 of open paren x plus 6 close paren is equal to the log base 2 of 16
B
4 raised to the log sub 4 of open paren x plus 6 close paren power is equal to 4 to the 4th power
C
4 raised to the log sub 4 of open paren x plus 6 close paren power is equal to 2 squared
D
log sub 4 of open paren x plus 6 close paren is equal to the log base 4 of 16

Explanation

Since 4² = 16, the definition of a logarithm gives log₄(16) = 2. So the equation can be rewritten as log₄(x + 6) = log₄(16), which is choice D.

AI-written and checked against the verified answer.

Previous
Next