Solve for x:
log(log(x)/log(2))/log(3) = 2
Multiply both sides by log(3):
log(log(x)/log(2)) = 2 log(3)
2 log(3) = log(3^2) = log(9):
log(log(x)/log(2)) = log(9)
Cancel logarithms by taking exp of both sides:
log(x)/log(2) = 9
Multiply both sides by log(2):
log(x) = 9 log(2)
9 log(2) = log(2^9) = log(512):
log(x) = log(512)
Cancel logarithms by taking exp of both sides:
x = 512
