Question

Which expression is equivalent to log₃(C/9)?

a. log₃C + log₃(9)
b. log₃(9) + log₃C
c. log₃C - log₃(9)
d. log₃(9) - log₃C

Answer 1

The expression log3(C/9) is equivalent to option C)): log3C - log3(9).

Step-by-step explanation:

The expression log₃(C/9) can be simplified using the logarithmic property :

log(a/b) = log(a) - log(b).

Using this property, the equivalent expression can be rewritten as :

log₃C - log₃(9).

Therefore, the correct answer is option C: log₃C - log₃(9).