"Log"ing Problem!

For students of class 9-10 (age 14-16)
Tasnood
Posts: 73
Joined: Tue Jan 06, 2015 1:46 pm

"Log"ing Problem!

Let $a>1$ and $x>1$ satisfy $log_a(log_a(log_a2)+log_a24-128)=128$ and $log_a(log_ax)=256$.
Find the remainder when $x$ is divided by $1000$

Tasnood
Posts: 73
Joined: Tue Jan 06, 2015 1:46 pm