10
lesson pretestMultiple Choice

Pretest

Question 10 • Mathematics III

Which expression is equivalent to log sub 3 c over 9 ?

Answer
A
log sub 3 of 9 minus log sub 3 of c
B
the log base 3 of c minus log sub 3 of 9
C
the log base 3 of c plus log sub 3 of 9
D
log sub 3 of 9 plus log sub 3 of c

Explanation

Use the quotient rule for logarithms: log₃(x/y) = log₃(x) − log₃(y). Therefore, log₃(c/9) = log₃(c) − log₃(9), which is choice A, “the log base 3 of c minus the log base 3 of 9.”

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