Question 12
The increasing geometric sequence $x_0,$ $x_1,$ $x_2,$ $\ldots$ consists entirely of integral powers of $3.$ Given that $$
\sum_{n=0}^{7} \log_3(x_n) = 308
$$ and $$
56 \le \log_3\left(\sum_{n=0}^{7} x_n\right) \le 57,
$$ find $\log_3(x_{14}).$
\sum_{n=0}^{7} \log_3(x_n) = 308
$$ and $$
56 \le \log_3\left(\sum_{n=0}^{7} x_n\right) \le 57,
$$ find $\log_3(x_{14}).$