Solve for x:
log(log(log(x)/log(2))/log(3))/log(4) = 0
Multiply both sides by log(4):
log(log(log(x)/log(2))/log(3)) = 0
Cancel logarithms by taking exp of both sides:
log(log(x)/log(2))/log(3) = 1
Multiply both sides by log(3):
log(log(x)/log(2)) = log(3)
Cancel logarithms by taking exp of both sides:
log(x)/log(2) = 3
Multiply both sides by log(2):
log(x) = 3 log(2)
3 log(2) = log(2^3) = log(8):
log(x) = log(8)
Cancel logarithms by taking exp of both sides:
x = 8