Answer
$\log_3 \frac{a^{2}b^{2}}{243c^{3}}$
Work Step by Step
$\log_3 a^{2} + 2\log_3 bc - 5 \log_3 3c$
$\log_3 a^{2} + \log_3 (bc)^{2} - 5 \log_3 3c$
$\log_3 a^{2} + \log_3 b^{2}c^{2} - 5 \log_3 3c$
$\log_3 a^{2}b^{2}c^{2} - \log_3 (3c)^{5}$
$\log_3 a^{2}b^{2}c^{2} - \log_3 243c^{5}$
$\log_3 \frac{a^{2}b^{2}c^{2}}{243c^{5}}$
$\log_3 \frac{a^{2}b^{2}}{243c^{3}}$
