Question

Rewrite log4(27m2n)
using the Quotient, Product, and Power Rules of Logarithms.(1 point)

log427−2log4m+log4n

2log427m−log4n

log427+2log4m−log4n

Answer 1

Likely the intended expression is log4(27 m^2 / n). Using Product, Power and Quotient rules:

log4(27 m^2 / n) = log4 27 + log4(m^2) − log4 n
= log4 27 + 2·log4 m − log4 n.

(If the original had no division, i.e. log4(27 m^2 n), the last sign would be +: log4 27 + 2 log4 m + log4 n.)