Question

log (base 1/3) (27)+log (base 1/3) (1/9) express as a single logarithm, simplify if possible.

Answer 1

log(27) + log(1/9), where log is base 1/3
= log (3 * 9) + log (1) - log (9)
= log(3) + log(9) + 0 - log(9)
= log(3)
= -1, since (1/3)^(-1) = 3.

Ans. -1.