Which of the following options rewrites log4(9m3n) using the Quotient Rule of Logarithms, the Product Rule of Logarithms, and the Power Rule of Logarithms?(1 point)
Responses
log4 9−3log4 m+log4 n
log4 9−3log4 m+log4 n
log4 9+3log4 m−log4 n
log4 9+3log4 m−log4 n
3log4 9m−log4 n
log4(9m3n) = log4(9) + log4(m^3) - log4(n)
Using the Power Rule: log4(m^3) = 3log4(m)
Therefore, the correct answer is:
log4 9+3log4 m−log4 n