Explanation:
log_a270 - log_a10 + log_a\(\frac{1}{3}\) = 2
log_a270 + log_a\(\frac{1}{3}\) - log_a10 = 2
log_a(270\(\frac{\frac{1}{3}}{10}\)) = 2
log_a9 = 2
a^a = 9
a = \(\sqrt{9}\) = 3